Question

a nutritionist finds that meal A has more fat than meal B. Meal A has 5 grams more than 6 times the amount of fat that meal B has. The difference in the fat content between meal A and meal B is 65 grams. Find the fat content of meal A and meal B

Answer 1

A has 77 grams and B has 12 grams.

Explanation:

In order to find the amount of fat in both, we need to set up two equations in standard form. First, we can set up one comparing the two amounts and solve for the constant.

A = 6B + 5

A - 6B = 5

Now we can create one using the difference of the two.

A - B = 65

To solve, we now multiply the second equation by -1 and solve for B.

A - 6B = 5

-A + B = -65

----------------

-5B = -60

B = 12

Knowing this we can plug into the equation and find the value of A.

A - B = 65

A - 12 = 65

A = 77