The points M, N, O and P all lie on the same line segment, in that order, such that the ratio of MN: NO: OP is equal to 1:3:1. If, MP-40, find NP.

Answer 1

M N O P

1 3 1

Let x = value of the ratio

so we have the ratio 1:3:1 of segments

so we can write an equation. x +3x +x=40

5x=40 x=8

NP is equal to NO + OP which was 3x + x substituting 8 for x we get 32

NP=32