Question

The coach of an intramural baseball club needs to order baseballs and bats. He visits a local sporting goods store and notices that one bucket of baseballs and one bat costs a total of $50. The coach decides to order 3 buckets of baseballs and 5 bats for a total cost of $220.

However, due to a change in the number of expected participants in the intramural baseball club, the coach decides to change the order. Which of the following orders could the coach make and have the same cost per bucket of baseballs and the same cost per bat as in the original order? Select ALL that apply.

Answer 1

I don't see the answer choices. Can you paste them?

Meanwhile, here's how to check any choice quickly:

From
1 bucket + 1 bat = $50
3 buckets + 5 bats = $220

solve:
let B = price per bucket, T = price per bat.
B + T = 50
3B + 5T = 220
=> B = 15, T = 35.

So any new order (b buckets, t bats) will match the original per-item prices exactly iff its total cost is 15b + 35t. Give the answer choices and I'll mark which ones satisfy that (showing the arithmetic).