SOLUTION: I am very lost with this problem. Here it is: Arnie Waldman has chosen a workout that combines weight training and aerobics. If he does 30 min of weight training, followed by a 30-

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Question 219621: I am very lost with this problem. Here it is: Arnie Waldman has chosen a workout that combines weight training and aerobics. If he does 30 min of weight training, followed by a 30-min aerobics class, he will burn a total of 374 calories. If he burns 12/5 as many calories doing aerobis as doing weight traing, how many calories will he burn in each activity?
Answer by ankor@dixie-net.com(12706) About Me  (Show Source):
You can put this solution on YOUR website!
If he does 30 min of weight training, followed by a 30-min aerobics class,
he will burn a total of 374 calories.
If he burns 12/5 as many calories doing aerobics as doing weight training,
how many calories will he burn in each activity?
:
Let w = calories burned with weight
Let a = calories burned with aerobics
:
Total cal equation
w + a = 374
:
"he burns 12/5 as many calories doing aerobics as doing weight training,"
a = 12%2F5*w
:
Substitute 12%2F5w for a in the total cal equation
w + 12%2F5w = 374
Multiply equation by 5,
5w + 12w = 5(374)
17w = 1870
w = 1870%2F17
w = 110 cal doing weights
then
a = 374 - 110
a = 264 cal doing aerobics
;
:
Check solution, does 264/110 = 12/5? both = 2.4