Question
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
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
Answers
GPT 3.5
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.
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.