SOLUTION: carmela opened her piggy bank and found that she had $5.30. If she has only nickels, dimes, quarters, and half dollars and an equal number of coins of each kind, how many coins of

Algebra.Com
Question 895380: carmela opened her piggy bank and found that she had $5.30. If she has only nickels, dimes, quarters, and half dollars and an equal number of coins of each kind, how many coins of each does she have?
Answer by JulietG(1812)   (Show Source): You can put this solution on YOUR website!
.05 = nickel
.10 = dime
.25 = quarters
.50 = half dollars
Add 1 of each together to get .90
.90 does not go into $5.30 evenly. No solution.
Proof -
5 nickels, 5 dimes, 5 quarters, 5 half-dollars =
.25 + .50 + 1.25 + 2.50 = $4.50
6 nickels, 6 dimes, 6 quarters, 6 half-dollars =
.30 + .60 + 1.50 + 3.00 = $5.40
.
Can you please check the question to make sure it's written correctly?

RELATED QUESTIONS

Diana has been saving nickels and dimes. She opened up her piggy bank and determined that (answered by mananth)
Diana has been saving nickels and dimes. She opened up her piggy bank and determined... (answered by josmiceli)
Alycia opens her piggy bank to find only quarters and dimes inside .she counted the coins (answered by Alan3354)
Janice was given a piggy bank on her seventh birthday, and she put it to use immediately. (answered by greenestamps)
David opened his piggy bank and found 3 pennies, 5 nickels, and $2.95 in dimes and... (answered by stanbon)
Alycia opens her piggy bank to find only quarters and nickels inside .she counts the... (answered by Alan3354)
Alycia opens her piggy bank to find only quarters and nickels inside. She counts the... (answered by ikleyn,Edwin McCravy)
Alycia opens her piggy bank to find only nickels and quarters inside. She counts the... (answered by Boreal,josgarithmetic)
Use Cramer's Rule to solve. Sylvia has a piggy bank that contains nickels, dimes, and... (answered by solver91311)