Question

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. 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 amoung the constraints for this situation

Answer 1

x≥5y

x+y≥50

y≤25

Answer 2

x ≥ 5y

y ≤ 25

x ≤ 200

Explanation:

It is given that Trisha wants to use at least 5 times as many key chains as thumb drives.

x represents the number of key chains and y represents the number of thumb drives.

Therefore, x ≥ 5y.

Total number of thumb drives is 25.

Therefore, y ≤ 25.

Total number of key chains is 200.

Therefore, x ≤ 200.