Apples are sold in bags of four that cost $5, or bags of six that costs $7 per bag. What is the smallest cost at which you can buy 74 apples?

Question

16-05-2018
Mathematics

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Apples are sold in bags of four that cost $5, or bags of six that costs $7 per bag. What is the smallest cost at which you can buy 74 apples?

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Americ Americ · Answer 1 · 2018-05-16T07:44:03+02:00

STEP 1:
BAGS OF FOUR
find number of bags needed to total 74 apples

= 74 ÷ 4 apples/bag
= 18.5 bags

*must round up to 19 bags because we cannot buy a partial bag

STEP 2:
BAGS OF FOUR
calculate price of 19 bags of 4 apples per bag

= 19 bags * $5/bag
= $95 for 19 bags of 4 apples/bag

STEP 3:
BAGS OF SIX
find number of bags needed to total 74 apples

= 74 ÷ 6 apples per bag
= 12.3333 bags needed

*must round up to 13 bags because we cannot buy a partial bag

STEP 4:
BAGS OF SIX

calculate price of 13 bags of 6 apples per bag

= 13 bags * $7 per bag
= $91 for 13 bags of 6 apples/bag

ANSWER: The smallest cost to buy 74 apples is $91.

Hope this helps! :)