Question

Sally has $5.20 in quarters and dimes. She has 4 times as many quarters as dimes. How

many quarters and dimes does she have?

Answer 1

Sally has 4 dimes and 16 quarters.

Step-by-step explanation:

Sally has $5.20 in quarters and dimes.

Let's denote the number of dimes Sally has as 'x'.

Since she has 4 times as many quarters as dimes, the number of quarters she has is 4x.

Now, let's determine the value of the coins. A dime is worth $0.10 and a quarter is worth $0.25.

The value of the dimes can be calculated as 0.10x and the value of the quarters can be calculated as 0.25(4x) = 1.00x.

The total value of the coins is $5.20. So we can set up the equation:

0.10x + 1.00x = 5.20

Combining like terms, we get:

1.10x = 5.20

Dividing both sides by 1.10, we find that x = 4.

So Sally has 4 dimes and 4(4) = 16 quarters.