Question

in the figure below, n lies between m and p. find the location of n so that the ratio of mn to np is 1 to 6. (number line: m at -3, n at ?, p at 25)

Explanation:

Step1: Find the length of MP

The coordinate of M is -3 and P is 25. So the length of MP is $25 - (-3) = 28$.

Step2: Determine the length of MN

The ratio of MN to NP is 1:6, so the total number of parts is $1 + 6 = 7$. Each part has length $\frac{28}{7} = 4$. So MN = 4.

Step3: Find the coordinate of N

Starting from M (-3), moving 4 units towards P (since N is between M and P), the coordinate of N is $-3 + 4 = 1$.

Answer:

1