SOLUTION: Rita has a collection of 82 dimes and nickels worth $6.65. How many nickels does she have?

Algebra.Com
Question 1005405: Rita has a collection of 82 dimes and nickels worth $6.65. How many nickels does she have?

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
N=number of nickels; D=number of dimes
N+D=82
D=82-N
.
$0.05N+$0.10D=$6.65
$0.05N+$0.10(82-N)=$6.65
$0.05N+$8.20-$0.10N=$6.65
-$0.05N=-$1.55
N=31
ANSWER: She had 31 nickels.

RELATED QUESTIONS

angelina has a collection of nickels and dimes worth $4.75. If she has 70 dimes and... (answered by ikleyn)
angelina has a collection of nickels and dimes worth $4.75. If she has 70 dimes and... (answered by ikleyn)
Angelina has a collection of nickels and dimes worth $4.65. If she has 70 nickels and... (answered by josgarithmetic,MathTherapy,ikleyn)
Keisha has a collection of dimes and nickels worth a total of $4. If she has 50 coins in... (answered by sck12,Alan3354)
angelina has collection of nickels and dimes worth &4.65. if she has 70 nickels and... (answered by Edwin McCravy)
Sarah has a collection of nickels, dimes, and quarters worth $15.75. She has 10 more... (answered by ankor@dixie-net.com)
Sara has a collection of nickels, dimes, and quarters, worth $15.75. She has 10 more... (answered by stanbon)
Sarah has a coin collection of nickels, dimes, and quarters worth $15.75. She has 10 more (answered by josmiceli)
Robin has a collection of nickels, dimes, and quarters worth $38.50. She has 10 more... (answered by jorel1380)