CEMC Fermat, 2023

Algebra Difficulty 2.2 Junior Find the answer Canada

Snacks are purchased for 17 soccer players. Juice boxes come in
packs of 3 and cost $2.00 per pack. Apples come in bags of 5 and cost
$4.00 per bag. Danny buys packs of juice boxes and bags of apples so
that every player gets a juice box and an apple. What is the minimum
amount of money that Danny spends?

Pick one

Solution

Since juice boxes come in packs of 3, Danny needs to buy at least
6 packs for the 17 players. (If Danny bought 5 packs, he would have 15
juice boxes which is not enough; with 6 packs, he would have 18 juice
boxes.)

Since apples come in bags of 5, Danny needs to buy at least 4 bags. (We
note that $3 \cdot 5 = 15$ is too
small, and $4 \cdot 5 = 20$ , which is
enough.)

Therefore, the minimum amount that Danny can spend is $6 \cdot \$2.00 + 4 \cdot \$4.00 = \$28.00$ .

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