Question

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?

Answer 1

[AI-generated answer — Bot]

Let's call the weight of a box of DVDs "x" and the weight of a box containing a gaming machine "y."

From the first sentence, we know that:

- Each small box (containing DVDs) weighs x
- Each large box (containing a gaming machine) weighs y

From the second sentence, we know that:

- 3 large boxes + 1 small box weigh 48 pounds, or 3y + 1x = 48
- 3 large boxes + 5 small boxes weigh 72 pounds, or 3y + 5x = 72

We can use these two equations to solve for x and y. Here's one way to do it:

1. Rearrange the first equation to solve for x:
1x = 48 - 3y
2. Substitute this expression for x into the second equation:
3y + 5(48 - 3y) = 72
3. Simplify and solve for y:
3y + 240 - 15y = 72
-12y = -168
y = 14
4. Plug this value of y back into either equation to find x:
3(14) + 1x = 48
x = 6

So each box of DVDs weighs 6 pounds, and each box containing a gaming machine weighs 14 pounds.