Question

The points J, K, L and M all lie on the same line segment, in that order, such that the ratio of JK:KL:LM is equal to 4:3:1. If JM=32, find LM.

Answer 1

JL=18

Explanation:

So, we know that JM is the longest segment and the other three segments are between J and M.

That means that we can add the parts of the ratio together (2 + 1 + 2 = 5), and we find that JM has 5 parts.

Since JM = 30, we can divide it by 5 and see that each part is equal to 6.

We can add the JK and KL parts together (2 + 1 = 3) to show that JL has 3 parts.

Then we multiply 3 by 6 to find our answer

Answer 2

Explanation:

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