Number, NAPX-p115611v04 SA

Question

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Worked Solution

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Variant 0

DifficultyLevel

688

Question

A 5-cent coin has a mass of 3.1 grams.

A 20-cent coin has a mass of 5.3 grams.

Jonathan has 198.4 grams of 5-cent coins.

Kevin has 964.6 grams of 20-cent coins.

How much more worth of coins does Kevin have than Jonathan?

Worked Solution
Jonathan's total = Total mass of coinsmass of 1 coin×\dfrac{\text{Total mass of coins}}{\text{mass of 1 coin}} \times 5 cents
= 198.43.1×5\dfrac{198.4}{3.1} \times 5
= 64 × 5
= 320 cents

Kevin's total = = 964.65.3×20\dfrac{964.6}{5.3} \times 20
= 182 × 20
= 3640 cents

∴\therefore Difference = 3640 −- 320
= 3320 cents
= $33.20

Question Type

Answer Box

Variables

Variable nameVariable value
question
A 5-cent coin has a mass of 3.1 grams. A 20-cent coin has a mass of 5.3 grams. Jonathan has 198.4 grams of 5-cent coins. Kevin has 964.6 grams of 20-cent coins. How much more worth of coins does Kevin have than Jonathan?
workedSolution
||| |-|-| |Jonathan's total|= $\dfrac{\text{Total mass of coins}}{\text{mass of 1 coin}} \times$ 5 cents| | | | ||= $\dfrac{198.4}{3.1} \times 5$| ||= 64 × 5| ||= 320 cents|

||| |-|-| |Kevin's total|= = $\dfrac{964.6}{5.3} \times 20$| ||= 182 × 20| ||= 3640 cents|

||| |-|-| |$\therefore$ Difference|= 3640 $-$ 320| ||= 3320 cents| ||= {{{prefix0}}}{{{correctAnswer0}}}|
correctAnswer0
33.20
prefix0
$
suffix0

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
correctAnswer033.20

$

Variant 1

DifficultyLevel

686

Question

A 10-cent coin has a mass of 6.2 grams.

A 5-cent coin has a mass of 2.9 grams.

Rico has 347.2 grams of 10-cent coins.

Jester has 301.6 grams of 5-cent coins.

How much more worth of coins does Rico have than Jester, in cents?

Worked Solution
Rico's total = Total mass of coinsmass of 1 coin×\dfrac{\text{Total mass of coins}}{\text{mass of 1 coin}} \times 10 cents
= 347.26.2×10\dfrac{347.2}{6.2} \times 10
= 56 × 10
= 560 cents

Jester's total = 301.62.9×5\dfrac{301.6}{2.9} \times 5
= 104 × 5
= 520 cents

∴\therefore Difference = 560 −- 520
= 40 cents

Question Type

Answer Box

Variables

Variable nameVariable value
question
A 10-cent coin has a mass of 6.2 grams. A 5-cent coin has a mass of 2.9 grams. Rico has 347.2 grams of 10-cent coins. Jester has 301.6 grams of 5-cent coins. How much more worth of coins does Rico have than Jester, in cents?
workedSolution
||| |-|-| |Rico's total|= $\dfrac{\text{Total mass of coins}}{\text{mass of 1 coin}} \times$ 10 cents| | | | ||= $\dfrac{347.2}{6.2} \times 10$| ||= 56 × 10| ||= 560 cents|

||| |-|-| |Jester's total|= $\dfrac{301.6}{2.9} \times 5$| ||= 104 × 5| ||= 520 cents|

||| |-|-| |$\therefore$ Difference|= 560 $-$ 520| ||= 40 cents|
correctAnswer0
40
prefix0
suffix0
cents

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
correctAnswer040

cents

Variant 2

DifficultyLevel

687

Question

A 20-cent coin has a mass of 12.5 grams.

A 5-cent coin has a mass of 2.9 grams.

Harold has 487.5 grams of 20-cent coins.

Rick has 179.8 grams of 5-cent coins.

How much more worth of coins does Harold have than Rick, in cents?

Worked Solution
Harold's total = Total massmass 1 coin×\dfrac{\text{Total mass}}{\text{mass 1 coin}} \times 20 cents
= 487.512.5×20\dfrac{487.5}{12.5} \times 20
= 39 × 20
= 780 cents

Rick's total = 179.82.9×5\dfrac{179.8}{2.9} \times 5
= 62 × 5
= 310 cents

∴\therefore Extra money = 780 −- 310
= 470 cents

Question Type

Answer Box

Variables

Variable nameVariable value
question
A 20-cent coin has a mass of 12.5 grams. A 5-cent coin has a mass of 2.9 grams. Harold has 487.5 grams of 20-cent coins. Rick has 179.8 grams of 5-cent coins. How much more worth of coins does Harold have than Rick, in cents?
workedSolution
||| |-|-| Harold's total|= $\dfrac{\text{Total mass}}{\text{mass 1 coin}} \times$ 20 cents| | | | ||= $\dfrac{487.5}{12.5} \times 20$| ||= 39 × 20| ||= 780 cents|

||| |-|-| |Rick's total|= $\dfrac{179.8}{2.9} \times 5$| ||= 62 × 5| ||= 310 cents|

||| |-|-| |$\therefore$ Extra money|= 780 $-$ 310| ||= 470 cents|
correctAnswer0
470
prefix0
suffix0
cents

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
correctAnswer0470

cents

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