Drew burned 1,800 calories Friday playing 1 hour of basketball and canoeing for 2 hours. On Saturday, he spent 2 hours playing basketball and 3 hours canoeing and burned 3,200 calories. How many calories did he burn per hour when playing basketball?
Accepted Solution
A:
Answer:He burnt 1000 calories per hour when playing basketball.Step-by-step explanation:Let B be calories burned playing basketball, and C calories burned canoing.1800 = B + 2C3200 = 2B + 3CFrom 1st equatipn, we get that B = 1800 - 2CReplacing into the 2nd equation, we have:3200 = 2(1800-2C) + 3C3200 = 3600 - 4C + 3C3200 = 3600 - 1CC = 3600 - 3200C = 400Knowing C, we find B.B = 1800 - 2C = 1800 - 2*400 = 1800 - 800 = 1000 calories.