Question

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?

Answer 1

He has burned 1000 calories per hour while playing basket ball.

Explanation:

• Let x be the no. of calories burnt per hour while playing Basketball
• Let y be the no. of calories burnt per hour while canoeing
• We are given that Drew burned 1,800 calories Friday playing 1 hour of basketball and canoeing for 2 hours.

So, Equation becomes = x + 2y = 1800 ..... A

On Saturday, he spent 2 hours playing basketball and 3 hours canoeing and burned 3,200 calories.

So, Equation becomes = 2x + 3y = 3200 ..... B

Plot A and B

x+2y = 1800 ---- Black

2x+3y = 3200 --- Red

Intersection point gives the solution  as

(x,y)=(1000,400)

Thus he has burned 1000 calories per hour while playing basket ball.