Problema Solution

muriel has $3.70 in dimes and quarters. if there are 25 coins in all, how many of them are dimes?

Answer provided by our tutors

let


x = the number of dimes

y = the number of quarters


there are 25 coins in all


x + y = 25


1 dime = $0.1

1 quarter = $0.25


the total of money Muriel has is $3.70


0.1x + 0.25y = 3.70


by solving the system of equations


x + y = 25

0.1x + 0.25y = 3.70


we find


x = 17 dimes


y = 8 quarters


Muriel has 17 dimes.