Question

taylor has 85 cents in dimes and nickels in her pocket. Twhe number of dimes is four more than the number of nickels

Answer 1

Let us assume that number of dimes is x and number of nickels is y.

We have been given that total value of the money is 85 cents. Therefore, we can express an equation as

`10x+5y=85`

Further, we are given that number of dimes is four more than the number of nickels. Using this sentence, we can write another linear equation as:

`x=y+4`

In order to solve this system of linear equations, we can plug
`x=y+4` in the first equation:

`10(y+4)+5y=85`

`10y+40+5y=85`

`15y=45`

`y=3`

Since
`x=y+4`, therefore, we can set up:

`x=3+4`

`x=7`

Therefore, Taylor has 7 dimes and 3 nickels.