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 + 2C
3200 = 2B + 3C
From 1st equatipn, we get that B = 1800 - 2C
Replacing into the 2nd equation, we have:
3200 = 2(1800-2C) + 3C
3200 = 3600 - 4C + 3C
3200 = 3600 - 1C
C = 3600 - 3200
C = 400
Knowing C, we find B.
B = 1800 - 2C = 1800 - 2*400 = 1800 - 800 = 1000 calories.
Answer:
He burn 1000 calories per hour when playing basketball
Step-by-step 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 = [tex]x+2y = 1800[/tex] --- A
On Saturday, he spent 2 hours playing basketball and 3 hours canoeing and burned 3,200 calories.
So, Equation becomes = [tex]2x+3y = 3200[/tex] --- B
Plot A and B
[tex]x+2y = 1800[/tex] ---- Black
[tex]2x+3y = 3200[/tex] --- Red
Refer the attached figure
Intersection point gives the solution
(x,y)=(1000,400)
So, he burn 1000 calories per hour when playing basketball
