Question

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?

Answer 1

Answer: He burned 800 calories per hour playing basketball.

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`