Question

An apple contains 165 calories and 3 g of fiber. A banana contains 120 calories and 2 g of fiber. Set up a system of equations that could be solved to determine the number of apples (A) and bananas (B) that should be eaten to obtain 5070 calories and 90 g of fiber

Answer 1

Answer:

The answer to your question is:  22 apples and 12 bananas

Step-by-step explanation:

a = apples

b = bananas

                     165a + 120b = 5070

                       3a + 2b = 90

Solve by elimination

                 -60(3a + 2b = 90)

                -180 a - 120b = -5400

                 165a + 120b = 5070

                  -15 a      0    = -330

                        a = -330 / -15

                         a = 22

                  3(22) + 2b = 90

                  66 + 2b = 90

                  2b = 90 -66

                   2b = 24

                   b = 24/2

                   b = 12