Question

A company sells boxes of duck calls (d) for $35 and boxes of turkey calls (t) for $45. they make batches of duck calls that fill 6 boxes and batches of turkey calls that fill 8 boxes. the company only has 42 boxes. which system of equations helps the company plan to make $300? 6d = 42 − 8t35d + 45t = 300 d = 42 − t6d + 8t = 42 d = 42 − t35d + 45t = 300 6d = 42 − 8t35d − 45t = 300

Answer 1

Option A is the correct choice.

Explanation:

Let d be the number of boxes of duck calls and t be the number of boxes of turkey calls.

We have been given that a company sells boxes of duck calls for $35 and boxes of turkey calls (t) for $45, so the revenue earned from selling d boxes of duck and t boxes of turkey call will be 35d and 45t respectively.

Further, the company plan to make $300. We can represent this information as:

`35d+45t=300...(1)`

We are also told that they make batches of duck calls that fill 6 boxes and batches of turkey calls that fill 8 boxes. the company only has 42 boxes. We can represent this information as:

`6d+8t=42...(2)`

`6d=42-8t...(2)`

Therefore, our desired system of equation will be:

`35d+45t=300...(1)`

`6d=42-8t...(2)`