Kim knows she should keep her fat intake to less than 130 grams per day if on a 4,000 calorie diet. She is on a 1,500 calorie per day diet. How many grams of fat should she limit herself to each day?

Question

phi · Answer

do you know about ratios and proportions ?

phi · Answer

write a ratio of  fat grams/ calories

anonymous · Answer

yes but it has been I really long time since I have done stuff like this

phi · Answer

Use this info to write the first ratio:
130 grams per day if on a 4,000 calorie diet.

anonymous · Answer

130/4000

phi · Answer

and for the second ratio,  call the "unknown fat grams" x with 1500 calories

anonymous · Answer

x/1500

phi · Answer

and set the ratios equal
$$ \frac{x}{1500} = \frac{130}{4000} $$
to "solve for x" multiply both sides by 1500, like this:
$$ \frac{x}{1500} \cdot 1500= \frac{130}{4000} \cdot 1500$$
and simplify both sides

anonymous · Answer

I got 195000

phi · Answer

on the left side  x *1500/1500 is x*1 = x
on the right side, 130*1500/4000
try again

phi · Answer

apparently you did 130*1500 but did not divide by 4000

anonymous · Answer

oh that would be 48.75

phi · Answer

yes.  so the answer is 48.75 grams, or if you round to the nearest gram, about 49 grams