Bot this question has two parts. Hector eats 3/4 of an energy bar. The energy bar has n grams of protein. He also eats some eggs that have 12 1/2 grams of protein. Hector eats a total of 14 3/5 grams of protein. Part A. Create an equation to model this situation, using n to represent the number of grams of protein in a whole energy bar. Part B. What is the number of grams of protein, n, in the energy bar Hector eats? n=
Part A:
Let x be the number of grams of protein in the energy bar Hector eats.
Hector eats 3/4 of the energy bar, which is (3/4)x grams of protein.
He also eats 12 1/2 grams of protein from the eggs.
So, the total amount of protein Hector eats is (3/4)x + 12 1/2.
Part B:
According to the problem, Hector eats a total of 14 3/5 grams of protein.
So, we set the equation (3/4)x + 12 1/2 = 14 3/5.
To solve this equation, we need to convert all the fractions to a common denominator.
The common denominator for 4, 2, and 5 is 20.
Multiplying each term by 20, we get:
20 * (3/4)x + 20 * 12 1/2 = 20 * 14 3/5
15x + 250 = 280
Subtracting 250 from both sides, we have:
15x = 280 - 250
15x = 30
Dividing both sides by 15, we get:
x = 30/15
x = 2
Therefore, the number of grams of protein, n, in the energy bar Hector eats is 2.