Number, NAPX-F4-NC30 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

729

Question

Sisko keeps a tin of lollipops on his desk at home.

His son Tardis takes 1 lollipop out every 4 days.

Sisko adds a new lollipop to the tin every 5 days.

The lollipops in Sisko's tin are decreasing by 1 lollipop every x\large x days.

What is the value of x\large x?

Worked Solution

Expressing the information as an equation:
x4−x5\dfrac{\large x}{4} - \dfrac{\large x}{5} = 1
5x5 \large x −- 4x4\large x = 20
∴x\therefore \large x = 20 days

Question Type

Answer Box

Variables

Variable nameVariable value
question
Sisko keeps a tin of lollipops on his desk at home. His son Tardis takes 1 lollipop out every 4 days. Sisko adds a new lollipop to the tin every 5 days. The lollipops in Sisko's tin are decreasing by 1 lollipop every $\large x$ days. What is the value of $\large x$?
workedSolution
Expressing the information as an equation:
| | | | ------------- :| ---------- | | $\dfrac{\large x}{4} - \dfrac{\large x}{5}$| \= 1 | | $5 \large x$ $-$ $4\large x$| \= 20 | | $\therefore \large x$ | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
20
prefix0
suffix0
days

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer020

days

Variant 1

DifficultyLevel

729

Question

John keeps a tin of highlighters on his desk at work.

His work colleagues take 1 highlighter out of the tin every 3 days.

John adds a new highlighter to the tin every 4 days.

The highlighters in John's tin are decreasing by 1 highlighter every x\large x days.

What is the value of x\large x?

Worked Solution

Expressing the information as an equation:
x3−x4\dfrac{\large x}{3} - \dfrac{\large x}{4} = 1
4x4 \large x −- 3x3\large x = 12
∴x\therefore \large x = 12 days

Question Type

Answer Box

Variables

Variable nameVariable value
question
John keeps a tin of highlighters on his desk at work. His work colleagues take 1 highlighter out of the tin every 3 days. John adds a new highlighter to the tin every 4 days. The highlighters in John's tin are decreasing by 1 highlighter every $\large x$ days. What is the value of $\large x$?
workedSolution
Expressing the information as an equation:
| | | | ------------- :| ---------- | | $\dfrac{\large x}{3} - \dfrac{\large x}{4}$| \= 1 | | $4 \large x$ $-$ $3\large x$| \= 12 | | $\therefore \large x$ | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
12
prefix0
suffix0
days

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer012

days

Variant 2

DifficultyLevel

733

Question

May has a pot of daisies in her garden.

The snails in her garden eat 1 daisy plant every 6 days.

May adds a new daisy plant to the garden every 5 days.

The daisy plants in May's garden are increasing by 1 daisy plant every x\large x days.

What is the value of x\large x?

Worked Solution

Expressing the information as an equation:
x5−x6\dfrac{\large x}{5} - \dfrac{\large x}{6} = 1
6x6 \large x −- 5x5\large x = 30
∴x\therefore \large x = 30 days

Question Type

Answer Box

Variables

Variable nameVariable value
question
May has a pot of daisies in her garden. The snails in her garden eat 1 daisy plant every 6 days. May adds a new daisy plant to the garden every 5 days. The daisy plants in May's garden are increasing by 1 daisy plant every $\large x$ days. What is the value of $\large x$?
workedSolution
Expressing the information as an equation:
| | | | ------------- :| ---------- | | $\dfrac{\large x}{5} - \dfrac{\large x}{6}$| \= 1 | | $6 \large x$ $-$ $5\large x$| \= 30 | | $\therefore \large x$ | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
30
prefix0
suffix0
days

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer030

days

Variant 3

DifficultyLevel

735

Question

Jake is serving drinks at a function.

He takes 7 drinks from the refrigerator every minute and gives them to guests.

Rob is adding 6 drinks to the same refrigerator every minute to restock it.

The number of drinks in the refrigerator is decreasing by 1 drink every x\large x minutes.

What is the value of x\large x?

Worked Solution

Expressing the information as an equation:
x6−x7\dfrac{\large x}{6} - \dfrac{\large x}{7} = 1
7x7 \large x −- 6x6\large x = 42
∴x\therefore \large x = 42 minutes

Question Type

Answer Box

Variables

Variable nameVariable value
question
Jake is serving drinks at a function. He takes 7 drinks from the refrigerator every minute and gives them to guests. Rob is adding 6 drinks to the same refrigerator every minute to restock it. The number of drinks in the refrigerator is decreasing by 1 drink every $\large x$ minutes. What is the value of $\large x$?
workedSolution
Expressing the information as an equation:
| | | | ------------- :| ---------- | | $\dfrac{\large x}{6} - \dfrac{\large x}{7}$| \= 1 | | $7 \large x$ $-$ $6\large x$| \= 42 | | $\therefore \large x$ | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
42
prefix0
suffix0
minutes

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer042

minutes

Variant 4

DifficultyLevel

731

Question

Clarice has a tub of ice for cooling drinks at her party.

The ice is melting at a rate of 1 litre every 2 hours.

Clarice adds 1 litre of ice to the tub every 3 hours.

The ice in Clarice's tub is decreasing by 1 litre every x\large x hours.

What is the value of x\large x?

Worked Solution

Expressing the information as an equation:
x2−x3\dfrac{\large x}{2} - \dfrac{\large x}{3} = 1
3x3 \large x −- 2x2\large x = 6
∴x\therefore \large x = 6 hours

Question Type

Answer Box

Variables

Variable nameVariable value
question
Clarice has a tub of ice for cooling drinks at her party. The ice is melting at a rate of 1 litre every 2 hours. Clarice adds 1 litre of ice to the tub every 3 hours. The ice in Clarice's tub is decreasing by 1 litre every $\large x$ hours. What is the value of $\large x$?
workedSolution
Expressing the information as an equation:
| | | | ------------- :| ---------- | | $\dfrac{\large x}{2} - \dfrac{\large x}{3}$| \= 1 | | $3 \large x$ $-$ $2\large x$| \= 6 | | $\therefore \large x$ | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
6
prefix0
suffix0
hours

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer06

hours

Variant 5

DifficultyLevel

734

Question

Bill is adding 5 drinks a minute to a triathlon drinks table during an event.

Six drinks are being taken from the table every minute by competitors.

The number of drinks on the table is decreasing by 1 drink every x\large x minutes.

What is the value of x\large x?

Worked Solution

Expressing the information as an equation:
x5−x6\dfrac{\large x}{5} - \dfrac{\large x}{6} = 1
6x6 \large x −- 5x5\large x = 30
∴x\therefore \large x = 30 minutes

Question Type

Answer Box

Variables

Variable nameVariable value
question
Bill is adding 5 drinks a minute to a triathlon drinks table during an event. Six drinks are being taken from the table every minute by competitors. The number of drinks on the table is decreasing by 1 drink every $\large x$ minutes. What is the value of $\large x$?
workedSolution
Expressing the information as an equation:
| | | | ------------- :| ---------- | | $\dfrac{\large x}{5} - \dfrac{\large x}{6}$| \= 1 | | $6 \large x$ $-$ $5\large x$| \= 30 | | $\therefore \large x$ | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
30
prefix0
suffix0
minutes

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer030

minutes

Tags