A carpenter has less than 120 minutes to spend painting furniture each day. Today, he has spent 30.5 minutes painting a desk. Now he will paint x chairs, each of which takes 12.5 minutes.

What is the maximum number of chairs the carpenter can paint?

Responses

7 chairs
7 chairs

8 chairs
8 chairs

12 chairs
12 chairs

13 chairs
13 chairs

1 answer

To find the maximum number of chairs the carpenter can paint within the time constraint, we can set up an equation:

30.5 + 12.5x ≤ 120

Subtracting 30.5 from both sides, we get:

12.5x ≤ 89.5

Dividing both sides by 12.5, we find:

x ≤ 89.5 / 12.5

x ≤ 7.16

Since the carpenter cannot paint a fraction of a chair, the maximum number of chairs he can paint is 7.