Question

Benjamin has a stick which is 80/7 inches long. He wishes to cut it into two pieces so that one piece is 32/5 inches longer than the other. How long should the longer piece be? (Estimate to the nearest tenths place).

1.5
2.5
8.9
3.2

Answer 1

Explanation:

x = shorter piece

x + 32/5 = longer piece

x + x+32/5 = 80/7

2x = 80/7 - 32/5

2x = 400/35 - 224/35 = 176/35

x = 176/70 = 2.5 inches Longer piece is 2.5 + 32/5 =8.9 inches