Three times as many dimes as nickels and 6 more quarters than dimes. If the total amount is $5.90, how many nickels, dimes, and quarters do i have.

Question

Three times as many dimes as nickels and 6 more quarters than dimes. If the total amount is $5.90, how many nickels, dimes, and quarters do I have?

Answer 1

Let n = number of nickels

Let 3n = number of dimes

Let 3n + 6 = number of quarters

 

.05n+.10(3n)+.25(3n+6)=5.90    First, multiply the entire equation by 100.

     5n+10(3n)+25(3n+6)=590

           5n+30n+75n+150=590

                                110n=440

                                     n=4 nickels

                                   3n=12 dimes

                               3n+6=18 quarters