How many dimes, nickels, and quarters does Janet have?

Question

janet has three times as dimes As nickels and twice as many quarters as nickels. If she has $3.40 in all, how many nickels, dimes and quarters does she have??

Answer 1

Let n = the number of nickels

Let 2n = the number of quarters

Let 3n = the number of dimes

.05n + .25(2n) + .10(3n) = 3.40

5n + 25(2n) + 10(3n) = 340

5n + 50n + 30n = 340

85 n = 340

n = 4 nickels

2n = 2(4) = 8 quarters

3n = 3(4) = 12 dimes