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

Answer:

$x=12$ (12 nickels))

$y=5$ (5 dimes)

Step-by-step 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:

$x=17-5\\x=12$