For each birdhouse, Cooper uses 7 pieces of wood and some nails. He uses 3 times the number of nails as pieces of wood for each birdhouse. He sells each birdhouse for $12. If Cooper has lots of wood, but only 89 nails, how much money can he make selling birdhouses?
A. $348
B. $48
C. $144
D. $96
Let's solve the problem step by step:
First, let's figure out how many nails Cooper uses per birdhouse. We know that he uses 3 times the number of nails as pieces of wood for each birdhouse. So if he uses 7 pieces of wood, he would use 3 * 7 = <<7*3=21>>21 nails per birdhouse.
Next, let's figure out how many birdhouses Cooper can make with the number of nails he has. We know that Cooper has 89 nails, so he can make 89 / 21 = <<89/21=4.238095238095238>>4 birdhouses.
Since he can't make a fraction of a birdhouse, we take the largest whole number, which is 4. This means he can make and sell 4 birdhouses.
Finally, we calculate the amount of money Cooper can make by multiplying the number of birdhouses he can sell (4) by the price of each birdhouse ($12). So the total amount of money he can make is 4 * $12 = $<<4*12=48>>48.
Therefore, Cooper can make $48 selling the birdhouses.
Thus, the correct answer is B. $48.