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?

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).