Question

Drew burned 1,500 calories Friday playing one hour of basketball and canoeing for two hours. Saturday he spent two hours playing basketball and three hours canoeing and burned 2,400 calories. How many calories did he burn per hour when playing basketball? How many calories did he burn per hour when canoeing?

Answer 1

Drew burns 300 calories per hour playing basketball and 600 calories per hour canoeing.

Explanation:

To solve this problem, we need to use a system of equations. Let's define two variables:

b = number of calories Drew burns per hour playing basketball

c = number of calories Drew burns per hour canoeing

Using these variables, we can set up two equations based on the information given:

Equation 1: 1b + 2c = 1500 (calories burned on Friday)

Equation 2: 2b + 3c = 2400 (calories burned on Saturday)

To solve for b and c, we can use elimination or substitution. Let's use elimination:

Multiply Equation 1 by 2:

2b + 4c = 3000

Subtract Equation 2 from this new equation:

(2b + 4c) - (2b + 3c) = 4c - 3c

c = 600

Now that we know c = 600, we can substitute this value into either Equation 1 or Equation 2 to solve for b. Let's use Equation 1:

1b + 2(600) = 1500

1b + 1200 = 1500

1b = 300

b = 300

Therefore, Drew burns 300 calories per hour playing basketball and 600 calories per hour canoeing.