Skip to main content
OlympiadHQ

Browse · harp

Print

imc

algebra intermediate

Problem

Patty has coins consisting of nickels and dimes. If her nickels were dimes and her dimes were nickels, she would have cents more. How much are her coins worth?
(A)
(B)
(C)
(D)
Solution
She has nickels and dimes. Their total cost is cents. If the dimes were nickels and vice versa, she would have cents. This value should be cents more than the previous one. We get , which solves to . Her coins are worth .
Final answer
A