MATH SOLVE

2 months ago

Q:
# Drew burned 2,000 calories Friday playing one hour of basketball and canoeing for two hours. Saturday he spent two hours playing basketball in 3 hours canoeing and burned 3,300 calories. how many calories did he burn per hour when playing basketball? how many calories did he burn per hour when canoeing?

Accepted Solution

A:

To answer this, write a system of equations and use one to solve the other.

b + 2c = 2000 or b = 2000 - 2c (substitute this in for b in the 2nd equation)

2b + 3c = 3300

2 (2000 - 2c) + 3c = 3300

4000 - 4c + 3c = 3300

4000 -c = 3300

-c = -700

c = 700 calories

He burned 700 calories per hour canoeing and 600 calories per hour playing basketball (2000 - 2 x 700).

Β

b + 2c = 2000 or b = 2000 - 2c (substitute this in for b in the 2nd equation)

2b + 3c = 3300

2 (2000 - 2c) + 3c = 3300

4000 - 4c + 3c = 3300

4000 -c = 3300

-c = -700

c = 700 calories

He burned 700 calories per hour canoeing and 600 calories per hour playing basketball (2000 - 2 x 700).

Β