Algebra
posted by Jon .
Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 31 coins with a total face value of $4.55, how many of the coins are nickels?

q = # of quarters
n = # of nickels
q + n = 31 coins
Now, you need the value of the coins:
.25q + .05n =4.55
I would multiply by 100 to get rid of the decimals
25q + 5n = 455
q + n + 31
(multiply this equation by negative 5 and add.)
You will solve for quarters and then you can find nickels
Respond to this Question
Similar Questions

Math
Monica was collecting quarters and nickels in a jar. She kept track of the total value of the coins, as well as, how many coins were actually in the jar. However, she forgot specifically to track how many of each coin there is in the … 
Math
Pat throws her loose change into a can on her desk. When she took it out, there were only quarters and nickels. There were a total of 65 coins. If she had a total of $13.65, find the number of quarters and nickels. 
College Algebra
A coin jar contains nickels, dimes and quarters. There are 46 coins in all. There are 11 more nickels than quarters. The value of the dimes is $1.00 less than the value of the quarters. How many coins of each type are in the jar? 
Algebra (Mrs.Sue) thank you :)
Sal keeps quarters,nickels, and dimes in a jar. He has a total of 52 coins. He has three more quarters than dimes and five fewer nickels than dimes. How many dimes does sal have? 
Math
Marsha has nickels, dimes, and quarters. She has 207 coins total. Marcy has 13 less quarters than nickels. Find the number of each coin if she has a total of $28. 
algebra
Kyle has a total of 16 coins in his pocket. All the coins are nickels or quarters, and they have a total value of $2.20. How many nickels does Kyle have? 
Algebra
Solve the problem using matrices. John has a jarful of quarters and nickels. There are 84 coins in the jar. The value of the coins is $13.00. How many of each type of coin are there? 
math
When a child breaks open her piggy bank, she finds a total of 76 coins, consisting of nickels, dimes, and quarters. The total value of the coins is $9. If the nickels were dimes, and the dimes were nickels, the value of the coins would … 
math
Sam has 18 coins in his pocket that are either quarters or nickels. The total value of these coins is $3.90. Let q represent the number of quarters and n represent the number of nickels. The following system of equations represents … 
Algebra
Your friend claims that she has a bag of 30 coins containing nickels, dimes, and quarters. The total value of the 30 coins is $3. There are twice as many nickels as there are dimes. Is your friend correct?