Posted by **Catherine** on Tuesday, June 25, 2013 at 3:05pm.

Alec, Kate and Ketan are roommates who share living expenses in a ratio of

k: 2a: 5k

respectively. If their total expenses each month equal $1400, how much is Ketan's monthly contribution?

(A) 280/2a+6k

(B) 700/2a+6k

(C) 1400k/2a+6k

(D) 2800a/2a+6k

(E) 7000k/2a+6x

Please help! I have no idea how to do this.

- Math -
**Steve**, Tuesday, June 25, 2013 at 3:35pm
k+2a+5k = 1400

6k+2a = 1400

1400/(2a+6k) = 1

multiplying by 5k, we get

7000k/(2a+6k) = 5k

So, (E)

To check, plug in something simple like k=100 and see what you get.

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