Question

A board 60 in long is cut into two parts so that the longer piece is 5 times the shorter. What are the two lengths of the two pieces ?

The shorter piece is _____ a° in
the longer piece is _____a° in​

Answer 1

Longer piece: 50 in

Shorter piece: 10 in

Explanation:

Lets make the shorter piece = x

Leta make the longer piece = 5x

Since the longer piece is 5 times the shorter, this is why we put 5x, because 5 times the shorter. We also have to find the two lengths of the pieces which in total equals 60 in.

x + 5x = 60 in

If we substitute the x to 10:

10 + 50 = 60 in

10 in = shorter length

50 in = longer length