SOLUTION: A husky running a thousand mile race burns 5 3/8 calories in exertion for every 1 calorie burned for thermoregulation.It burns 11,200 calories per day. How many calories are burned

Question 1098774: A husky running a thousand mile race burns 5 3/8 calories in exertion for every 1 calorie burned for thermoregulation.It burns 11,200 calories per day. How many calories are burned from exertion and how many for thermoregulation (regulating body temperature)? Round to nearest whole number.
I need a formula please. I was thinking X + 5 3/8 = 11,200
Found 2 solutions by greenestamps, josmiceli:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Your formula is almost right; or maybe you were thinking the right formula but didn't write it correctly. If x amount of calories are burned for thermoregulation, then the amount burned for exertion is 5 and 3/8 times x.

The mixed number makes it awkward to describe a method for solving the problem. So let's make an equivalent ratio by multiplying both numbers by 8 and say that for each amount 8x of calories burned for thermoregulation, the amount burned for exertion is 43x. Then a formula that will get you to the answer is

The numbers 8x and 43x tell us that, out of every 51 calories burned, 8 are for thermoregulation and 43 are for exertion.

That in turn means the calories burned for thermoregulation are 8/51 of the total and the calories burned for exertion are 43/51 of the total.

So if the total number of calories burned is 11,200, then the number burned for thermoregulation is (approximately) and the number burned for exertion is
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = calories burned from exertion
= calories burned for thermoregulation
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and

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9,443.14 calories burned from exertion
1,756.86 calories for thermoregulation
-----------------------------------
check:

close enough I think

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