Question

The four defensive linemen on a football team compared their weights as follows: Danny weighs 15 pounds more than Ben. Sam is 20% heavier than Danny. Anthony weighs 215 pounds, which is 10 pounds less than Ben. How many pounds does Sam weigh?

a) 180 pounds
b) 192 pounds
c) 225 pounds
d) 240 pounds

Answer 1

To find Sam's weight, we first deduce that Ben weighs 225 pounds. Danny weighs 15 pounds more than Ben, which is 240 pounds, and Sam is 20% heavier than Danny, making Sam weigh 288 pounds. The correct option is c.

Step-by-step explanation:

The student's question asks us to determine the weight of a defensive lineman, Sam, based on a series of relationships with the weights of his teammates. First, we are given that Anthony weighs 215 pounds, which is 10 pounds less than Ben. We can calculate Ben's weight as follows: Anthony's weight = 215 pounds

Ben's weight = Anthony's weight + 10 pounds = 215 + 10 = 225 pounds

We know that Danny weighs 15 pounds more than Ben, so: Danny's weight = Ben's weight + 15 pounds = 225 + 15 = 240 pounds

Since Sam is 20% heavier than Danny, we need to find 20% of Danny's weight and add it to Danny's weight: 20% of Danny's weight = 0.20 × 240 = 48 pounds

Therefore, Sam's weight = Danny's weight + 20% of Danny's weight = 240 + 48 = 288 pounds The correct option is c.