Question

There are two more quarters than dimes and as many nickles as quarters and dimes together. The total amount of money is 3.75. How many quarters, dimes and nickles are there?

Answer 1

Answer: 9 quarters, 7 dimes, & 16 nickels

Explanation:

We set number of dimes as d:

• Number of quarters: d + 2
• Number of nickels: d + 2 + d = 2d + 2

So, set up the equation to solve:

`0.10d+0.25(d+2)+0.05(2d+2)=3.75\\\\0.10d+0.25d+0.5+0.1d+0.1=3.75\\\\0.45d=3.75-0.5-0.1=3.15\\\\d=7`

So now that we know there're seven dimes, we can plug them in our initial equations to find the number of quarters and nickels:

• Number of quarters: d + 2 = 7 + 2 = 9
• Number of nickels: d + 2 + d = 2d + 2 = 2(7) + 2 = 16