Question

A 49 foot rope is cut into 2 pieces. SEVEN less than FOUR times the length of the longer rope piece X is FIVE times the length of the shorter piece, which is (49-X)ft. Find the length of the longer rope piece X (in ft). (Enter an exact number.)

Answer 1

4x-7=5(49-x)
4x-7=245-5x
+7 +7
4x=252-5x
+5x +5x
9x=252
x=28