SOLUTION: Michael burned 1850 calories in one hour of playing basketball and two hours of cycling. During his next workout, he burned 3280 calories in two hours of basketball and three hour

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Michael burned 1850 calories in one hour of playing basketball and two hours of cycling. During his next workout, he burned 3280 calories in two hours of basketball and three hour      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1158570: Michael burned 1850 calories in one hour of playing basketball and two hours of cycling.
During his next workout, he burned 3280 calories in two hours of basketball and three hours of cycling. How many calories per hour did Michael burn playing basketball? How many calories per hour did he burn cycling?

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
RATES
b for basketball
c for cycling
units of calories per hour

system%28b%2B2c=1850%2C2b%2B3c=3280%29
.
.

Answer by greenestamps(13206) About Me  (Show Source):
You can put this solution on YOUR website!


Informally....

Adding one more hour of basketball and one more hour of cycling increased the number of calories by 3280-1850=1430.

So take the first workout of one hour of basketball and two hours of cycling and SUBTRACT one hour of basketball and one hour of cycling. That leaves one hour of cycling, and 1850-1430=420 calories.

ANSWER: In 1 hour of cycling he burned 420 calories.