SOLUTION: Your piggy bank has 25 coins in it; some are quarters and some are nickels. You have $3.45. How many nickels do you have? (I know you can figure this out by trial and error, but yo

Question 105150: Your piggy bank has 25 coins in it; some are quarters and some are nickels. You have $3.45. How many nickels do you have? (I know you can figure this out by trial and error, but you must write the equations and solve.)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
"Your piggy bank has 25 coins in it; some are quarters and some are nickels."
First name your variables.
Q-quarters
N-nickels
1.
Each quarter has a value of $0.25.
Each nickel has a value of $0.05.
"You have $3.45."

2. Multiply both sides by 100 to get rid of the decimals.
Use equation 1 and come up with an expression for Q and use it in 2.
1.

Now substitute into 2.
2.

Use the additive inverse of 625.

Use the multiplicative inverse of (-20).

Check your answer

Good answer.
11 quarters and 14 nickels in the piggy bank.
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