Algebra, NAPX-I3-CA27 SA

Question

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Worked Solution

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Variant 0

DifficultyLevel

690

Question

David is going on a golfing trip.

He wants to purchase balls before the trip, which are sold in boxes of a dozen balls.

The more boxes of balls that David buys, the less it costs per box, as shown in the table below.

Golf ball pricing

Number of boxes Total Cost
1 $12.50
2 $24.50
3 $36.00
4 $47.00


If this price pattern continues, how much will it cost for 6 boxes of balls?

Worked Solution

Additional boxes reduce in cost by 50 cents.

⇒ 4th box costs an extra $11.00

⇒ 5th box costs an extra $10.50

⇒ 6th box costs an extra $10.00
∴\therefore Total cost of 6 boxes = 47.00+10.50+10.0047.00+10.50+10.00
= $67.50

Question Type

Answer Box

Variables

Variable nameVariable value
question
David is going on a golfing trip. He wants to purchase balls before the trip, which are sold in boxes of a dozen balls. The more boxes of balls that David buys, the less it costs per box, as shown in the table below.
>>Golf ball pricing >>| Number of boxes | Total Cost | |:-:|:-:| | 1 | $12.50 | | 2 | $24.50 | | 3 | $36.00 | |4|$47.00|

If this price pattern continues, how much will it cost for 6 boxes of balls?
workedSolution
Additional boxes reduce in cost by 50 cents. ⇒ 4th box costs an extra $11.00 ⇒ 5th box costs an extra $10.50 ⇒ 6th box costs an extra $10.00
| | | | ------------- | ---------- | | $\therefore$ Total cost of 6 boxes | \= $47.00+10.50+10.00$ | | | \= {{{prefix0}}}{{{correctAnswer0}}} |
correctAnswer0
67.50
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
correctAnswer067.50

$

Variant 1

DifficultyLevel

688

Question

Gary is purchasing tins of paint for a job he is working on.

The more tins of paint Gary buys, the less it costs per tin of paint, as shown in the table below.

Pricing of paint

Number of tins Total Cost
1 $16.50
2 $32.50
3 $48.00
4 $63.00


If this price pattern continues, how much will it cost Gary to buy 6 tins of paint?

Worked Solution

Each extra tin of paint costs 50 cents less than the previous tin.

⇒ 4th tin costs an extra $15.00

⇒ 5th tin costs an extra $14.50

⇒ 6th tin costs an extra $14.00
∴\therefore Total cost of 6 tins = 63.00+14.50+14.0063.00 + 14.50 + 14.00
= $91.50

Question Type

Answer Box

Variables

Variable nameVariable value
question
Gary is purchasing tins of paint for a job he is working on. The more tins of paint Gary buys, the less it costs per tin of paint, as shown in the table below.
>>Pricing of paint >>| Number of tins | Total Cost | |:-:|:-:| | 1 | $16.50 | | 2 | $32.50 | | 3 | $48.00 | |4|$63.00|

If this price pattern continues, how much will it cost Gary to buy 6 tins of paint?
workedSolution
Each extra tin of paint costs 50 cents less than the previous tin. ⇒ 4th tin costs an extra $15.00 ⇒ 5th tin costs an extra $14.50 ⇒ 6th tin costs an extra $14.00
| | | | ------------- | ---------- | | $\therefore$ Total cost of 6 tins | \= $63.00 + 14.50 + 14.00$ | | | \= {{{prefix0}}}{{{correctAnswer0}}} |
correctAnswer0
91.50
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
correctAnswer091.50

$

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