Problema Solution
Michelle and Thalia have the same number of coins. Michelle has only dimes and Thalia has only quarters. If Thalia has $1.80 more than Michelle, how many coins does each have?
Answer provided by our tutors
1 dime = 10 cents
1 quarter = 25 cents
let
d = the number of dimes that Michele has
q = the number of quarters that Thalia has
Michelle and Thalia have the same number of coins
d = q
Thalia has $1.80 more than Michelle and $1.80 = 180 cents
25*q = 10d + 180
by solving the system of equations
d = q
25*q = 10d + 180
we find
d = q = 12 coins
click here to see the step by step solution of the system of equations
each has 12 coins.