Problema Solution
A coin bank cocontains $37 in quarters and dimes. The nnumber of dimes is 10 more than twice of quarters. How many dimes and how many quartes are there?
Answer provided by our tutors
1 dime = 10 cents
1 quarter = 25 cents
let
d = the number of dimes in the coin bank
q = the number of quarters in the coin bank
A coin bank contains $37 in quarters and dimes.
25q + 10d = 3700
The number of dimes is 10 more than twice of quarters.
d = 10 + 2q
by solving the system of equations:
25q + 10d = 3700
d = 10 + 2q
we find:
d = 170 dimes
q = 80 quarters
click here to see the step by step solution of the system of equations:
there are 170 dimes and 80 quarters.