# Math Help - Another word problem

1. ## Another word problem

I am 3 times as old as my cousin Carla, who is 3(1/3) times as old as my daughter Nina. If our total ages are 43 years, how old is my cousin?

2. I=3*C and C=10/3*N and I+C+N=43... solve for C

3. Originally Posted by artvandalay11
I=3*C and C=10/3*N and I+C+N=43... solve for C

...but we have more than one unknowns. I don't know how you solve this.

4. ## solution to age equations

I=3*C and C=10/3*N and I+C+N=43... solve for C

Well, let's try a method called substitution. Since I=3C, I+C+N=43=3C+C+N (all we did was put 3C in the place of I since I=3C)

So 3C+C+N=4C+N=43, but C=10/3*N, to get N by itself we multiply both sides by 3/10 so 3/10*C=N

Using substitution again, 4C+3/10*C=43. Solve that for C.