Question 1098774
<br>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.<br>
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 {{{8x + 43x = 11200}}}<br>
The numbers 8x and 43x tell us that, out of every 51 calories burned, 8 are for thermoregulation and 43 are for exertion.<br>
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.<br>
So if the total number of calories burned is 11,200, then the number burned for thermoregulation is {{{(8/51)(11200) = 1757}}} (approximately) and the number burned for exertion is {{{(43/51)(11200) = 9443}}}