Kendra has $5.70 in quarters and nickels. If she has 12 more quarters than nickels, how many of each

Discussion in 'Calculator Requests' started by math_celebrity, May 23, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Kendra has $5.70 in quarters and nickels. If she has 12 more quarters than nickels, how many of each coin does she have?

    Let n be the number of nickels and q be the number of quarters. We have:

    1. q = n + 12
    2. 0.05n + 0.25q = 5.70
    Substitute (1) into (2)
    0.05n + 0.25(n + 12) = 5.70
    0.05n + 0.25n + 3 = 5.70

    Combine like terms:
    0.3n + 3 = 5.70

    Using our equation calculator, we get n = 9.

    Substituting that back into (1), we get:
    q = 9 + 12
    q = 21
     

Share This Page