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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 - 8t

35d + 45t = 300


d = 42 - t

6d + 8t = 42


d = 42 - t

35d + 45t = 300


6d = 42 - 8t

35d - 45t = 300

Verified Answer :

The answer is A) 6d = 42 - 8t

35d + 45t = 300

Answer:  First option is correct.

Step-by-step explanation:

Since we have given that

Let the number of boxes of duck calls be 'd'.

Let the number of boxes of turkey calls be 't'.

According to question,

They make batches of duck calls that fill 6 boxes and batches of turkey calls that fill 8 boxes.

So, it becomes,

\(6d+8t=42------------------(1)\)

They sells boxes of duck calls for $35 and boxes of turkey calls for $45.

So, it becomes,

\(35d+45t=\$300-- -------(2)\)

by solving we get that

d= 51 and t = -33

Hence, First option is correct.

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