How many calories do you burn canoeing for 1 hour

Asked by admin @ 29/10/2021 in Mathematics viewed by 524 People

Jason burned 1,400 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 2,500 calories. How many calories did he burn per hour when playing basketball?

Answered by admin @ 29/10/2021

Answer: He burned 800 calories per hour playing basketball.

Step-by-step explanation:

Let be "b" the amount of calories per hour Jason burned playing basketball and "c" the amount of calories per hour Jason burned canoeing.

Set up a system of equations:

$\left \{ {{b+2c=1,400} \atop {2b+3c=2,500}} \right.$

You can apply Elimination Method:

Multiply the first equation by -3.
Multiply the second equation by 2.
Add these equations.
Finally, solve for "b".

Therefore, you get:

$\left \{ {{-3b-6c=-4,200} \atop {4b+6c=5,000}} \right.\\.............................\\b=800$

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