Question

 A jar contains only​ pennies, nickels,​ dimes, and quarters. There are 25 ​pennies, 21 ​dimes, and 29 quarters. The rest of the coins are nickels. There are 92 coins in all. How many of the coins are not​ nickels? If n represents the number of nickels in the​ jar, what equation could you use to find​ n?

Answer 1

Answer:  

There are 75 coins that aren't nickels.

One equation you could use is 75+n = 92

(This solves to n = 17 meaning there are 17 nickels)

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Explanation:

"There are 25 ​pennies, 21 ​dimes, and 29 quarters", so there are 25+21+29 = 75 coins so far. This is the amount of coins that aren't nickels. The rest are nickels, which is some amount n. This adds to the 75 to get 75+n. Set this equal to 92 because there are 92 coins in all. That's how we end up with 75+n = 92.

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Extra info

The equation 75+n = 92 is the same as n+75 = 92. Subtract 75 from both sides to isolate n. You should get n = 17 after doing so.