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Set up and solve a system of equations to solve the problem.

A jar contains n nickels and d dimes. There are 26 coins in the jar, and the total value of the coins is $1.90. How many nickels and how many dimes are in the jar?

Respuesta :

shamon4

Answer:

14 Dimes and 12 Nickels

Step-by-step explanation:

So you want to make 2 equations like this:

n+d=26

0.05n+0.10d=2

Now, use substitution and get d=26-n

plug that into the next equation and get

0.05n+0.10(26-n)=2

Distribute and combine like terms

0.05n+2.6-0.10n=2

2.6-0.05n=2

subtract 2.6 from both sides and you get

-0.05n=-0.6

Solve for n by dividing and you get

12 nickels.

Now, plug that into the first equation and you get

12+d=26

d=14

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