Question

HELP PLEASE!! IM REALLY STUPID!! // You have nickels and dimes in your wallet with a total value of $1.10. You have 17 coins in all. Write and solve a system of linear equations to find the number x of nickels and y of dimes ( I’m not in college Btw I’m in middle school Idk why it says that lol)

Answer 1

`x=12` (12 nickels))

`y=5` (5 dimes)

Explanation:

Based on the information given in the problem, you can set up the following system of linear equations, where:

x: number of nickels.

y: number of dimes.

Then

FIRST EQUATION:
`x+y=17`

SECOND EQUATION:
`5x+10y=110` (in cents)

You can apply the Substitution method:

- Solve for x from the first equation.

- Substitute into the second equation and solve for y.

Then:

`x=17-y`

`5(17-y)+10y=110\\85-5y+10y=110\\5y=25\\y=5`

- Find x:

`x=17-5\\x=12`