SOLUTION: A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and twenty-one more quarters than dimes. How many coins of each did she return?

Question 657292: A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and twenty-one more quarters than dimes. How many coins of each did she return?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of nickels
Let = number of dimes
Let = number of quarters
given:
(1)
(2)
(3) ( in cents )
----------------------------
From (1):
(1)
Substitute (1) and (2) into (3)
(3)
(3)
(3)
(3)
(3)
--------------
and
(1)
(1)
(1)
and
(2)
(2)
(2)
She returned
4 nickels
13 dimes
34 quarters
----------
check:
(3)
(3)
(3)
OK

RELATED QUESTIONS
A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and... (answered by EMStelley,stanbon)

A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and 21... (answered by funmath,uma)

I need to figure out how to write the problem out because when I tried to do just that it (answered by ewatrrr)

Saul paid a bill of $4.60 with nickels, dimes, and quarters. The # of nickels was 3 less... (answered by JulietG)

Mathew went to the store and sked for change for a $10.00 bill. He got a handful of... (answered by ankor@dixie-net.com)

Susan's change purse contains quarters, dimes, and nickels. She has twice as many nickels (answered by stanbon,killahzsmilez)

A club treasurer has $28.45 consisting of nickels, dimes, and quarters. She has 9 more... (answered by ankor@dixie-net.com)

You took $10 in quarters, dimes and nickels from a jar of spare change. If you have twice (answered by josgarithmetic,MathTherapy,ikleyn)

Sarah has a collection of nickels, dimes, and quarters worth $15.75. She has 10 more... (answered by ankor@dixie-net.com)