Emily Elizabeth has $1.50 in dimes and nickels. She has 22 coins in all. How many nickels does she have?

Step-by-step explanation:

We can set up the following system of equations:

, where is the number of dimes she has and is the number of nickels she has.

Multiplying the second equation by -5 and adding both equations lets us isolate and solve for :

Plugging into any of the two equations will let us solve for :

.

Therefore, she has 14 nickels.

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step-by-step explanation: