One gram of sugar(S) contains 4 calories and one gram of fat(F) contains 9 calories. If one serving of a food contains 160 calories and has 7 grams of sugar , how many grams of fat are if this serving?

Round your answer to 1 decimal place.

Respuesta :

Answer: 14.7 grams of fat.

Step-by-step explanation:

The data we have is:

1g of sugar contains 4 cal

1g of fat contains 9 cal.

Let's define:

S = # of grams of sugar.

F = # of grams of fat.

We know that:

A serving has 160 calories:

S*4cal + F*9cal = 160 cal.

S = 7.

Then we can replace the second equation into the first one, and get:

7*4cal + F*9cal = 160cal

F*9cal = 160cal - 28cal = 132 cal.

F = 132cal/9cal = 14.66...

Now we want to round it to the first decimal place, the next decimal after it is a 6, so we must round up.

F = 14.7

This means that the serving has 14.7 grams of fat.