Answer:
she has 3 quarters
Step-by-step explanation:
let's call the amount of dimes D
let's call the amount of quarters Q
you know that she has 11 coins in total,
so D + Q = 11.
you also know that each dime is worth 10 cents.
and each quarter is worth 25 cents.
so 10d + 25q = 155
this is a system of equations. solve by substitution:
d = 11 - q
10d + 25q = 155
10(11 - q) + 25q = 155
110 - 10q + 25q = 155
15q + 110 = 155
15q = 45
q = 45/15
q = 3