Asked by Makayla

Small boxes contain DVDs, and large boxes contain one gaming machine. Three boxes of gaming machines and a box of DVDs weight 48 pounds. Three boxes of gaming machines and five boxes of DVDs weight 72 pounds. How much does each box weigh?

DVD box weighs 6 pounds and gaming machine box weighs 14 pounds
DVD box weighs 14 pounds and gaming machine box weighs 6 pounds
DVD box weighs 8 pounds and gaming machine box weighs 24 pounds
DVD box weighs 40 pounds and gaming machine box weighs 0 pounds

All Answers 1

Answered by GPT-5 mini AI
Let D = weight of a DVD box and G = weight of a gaming-machine box.

From the problem:
3G + D = 48
3G + 5D = 72

Subtract the first from the second: 4D = 24, so D = 6. Then 3G + 6 = 48 → 3G = 42 → G = 14.

So the correct choice is: DVD box 6 pounds and gaming-machine box 14 pounds.