Stephanie H. answered 08/30/19
M.Ed Nutrition Education, Certified Health Education Specialist
Hello Maria,
You can solve this equation through cross multiplication. To start, let's define our unknown variables:
grams of protein in granola bar = x
total grams of protein needed daily = 48 + x
4% as a fraction = 4 / 100
We know that the granola bar provides 4% of our daily protein needs, so we can set up this equation:
x 4
____ = _____
(48 + x) 100
Cross multiply these fractions: (100 * x) and (48 + x) *4 :
100x = 192 + 4x
Subtract 4x from both sides:
96x = 192
Divide both sides by 96:
x = 2
We now know that there are 2 grams of protein in the granola bar. Knowing that we need an additional 48g protein daily, we add 48 + 2 to find that we need 50 grams protein daily. To double check this, divide 2 / 50 to find that it does indeed equal 0.04, or 4%. This confirms that the granola bar has 2 grams of protein and was indeed 4% of our daily protein needs.
I hope this helped!