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Math Help - Another word problem

  1. #1
    Member Mr Rayon's Avatar
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    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?


    Please show any working out.
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  2. #2
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    I=3*C and C=10/3*N and I+C+N=43... solve for C
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  3. #3
    Member Mr Rayon's Avatar
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    Quote Originally Posted by artvandalay11 View Post
    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.
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  4. #4
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    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.
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