Question

Trisha needs to make at least 50 gift bags for an event. Each gift bag will contain at least 1 thumb drive or 1 key chain. She wants to use at least 5 times as many key chains as thumb drives. She has 25 thumb drives and 200 key chains.

Let x represent the number of key chains. Let y represent the number of thumb drives.

Which inequalities are among the constraints for this situation?


Select each correct answer:
A. y≤25

B. x+y≥50

C. x+5y≤50

D. x≥5y

E. x≤5y

Answer 1

Answer: answers B and E and C are correct

Answer 2

E. x ≥ 5y

A. y ≤ 25

B. x + y ≥50

Explanation:

Let x represent the number of key chains.

Let y represent the number of thumb drives.

As we know that:

• She wants to use at least 5 times as many key chains as thumb drives

<=> x ≥ 5y

• She has 25 thumb drives

<=> y ≤ 25

• Trisha needs to make at least 50 gift bags for an event. Each gift bag will contain at least 1 thumb drive or key chain

<=> x + y ≥50

So inequalities are among the constraints for this situation are:

x ≥ 5y

y ≤ 25

x + y ≥50