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
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.
To find the maximum number of chairs the carpenter can paint, we need to calculate the remaining time he has after painting the desk.
The carpenter has 120 - 30.5 = 89.5 minutes remaining.
Since each chair takes 12.5 minutes to paint, we can divide the remaining time by the time it takes to paint each chair: 89.5 / 12.5 = 7.16 chairs.
However, the carpenter cannot paint a fraction of a chair, so he can paint a whole number of chairs only. Therefore, the maximum number of chairs the carpenter can paint is 7 chairs.
To find the maximum number of chairs the carpenter can paint, we need to subtract the time spent painting the desk from the total available painting time.
The carpenter has less than 120 minutes to spend painting each day. Today, he has already spent 30.5 minutes painting the desk. So, we can calculate the remaining time for painting chairs as follows:
Total available time = 120 minutes
Time spent painting the desk = 30.5 minutes
Remaining time for painting chairs = Total available time - Time spent painting the desk
Remaining time for painting chairs = 120 minutes - 30.5 minutes
Remaining time for painting chairs = 89.5 minutes
Now, we need to determine how many chairs can be painted in 12.5 minutes per chair. To do this, we divide the remaining time for painting chairs by the time required to paint each chair:
Number of chairs = Remaining time for painting chairs / Time required per chair
Number of chairs = 89.5 minutes / 12.5 minutes
Number of chairs ≈ 7.16 chairs
Since we can't have a fraction of a chair, we need to round down to the nearest whole number to find the maximum number of chairs the carpenter can paint. Therefore, the carpenter can paint a maximum of 7 chairs.