Q:

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

Accepted Solution

A:
Answer:The answer to your question is:  22 apples and 12 bananasStep-by-step explanation:a = applesb = bananas                      165a + 120b = 5070                        3a + 2b = 90Solve 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