Question

Gina has a collection of nickels and dimes worth $8.65. If she has 101 total coins,

Answer 1

Gina has 29 nickels and 72 dimes.

Explanation:

Each nickel is $0.05, and each dime is $0.10.

If she has 101 total coins, we have:

`nickel + dime = 101`

All coins worth $8.65, so we have:

`0.05nickel + 0.1 dime = 8.65`

Multiplying the second equation by 20, and subtracting the result by the first equation, we have:

`20(0.05nickel + 0.1 dime) - nickel - dime = 20*8.65 - 101`

`1nickel +2 dime - nickel - dime = 173 - 101`

`dime = 72`

Then, finding the number of nickels, we have:

`nickel + 72 = 101`

`nickel = 29`

So Gina has 29 nickels and 72 dimes.