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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)

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carlosego

Answer:

[tex]x=12[/tex] (12 nickels))

[tex]y=5[/tex] (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: [tex]x+y=17[/tex]

SECOND EQUATION: [tex]5x+10y=110[/tex]  (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:

[tex]x=17-y[/tex]

[tex]5(17-y)+10y=110\\85-5y+10y=110\\5y=25\\y=5[/tex]

- Find x:

[tex]x=17-5\\x=12[/tex]

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