SOLUTION: Kay has amassed a collection of 1422 coins. they have included only nickels and pennies. the total collection is worth 45.22.
a. Write a system of equations to represent this in
Algebra.Com
Question 1201816: Kay has amassed a collection of 1422 coins. they have included only nickels and pennies. the total collection is worth 45.22.
a. Write a system of equations to represent this information, and determine the number of each coin in the collection.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Kay has amassed a collection of 1422 coins. they have included only nickels and pennies. the total collection is worth 45.22.
a. Write a system of equations to represent this information, and determine the number of each coin in the collection.
a collection of 1422 coins.
nickels and pennies.
let the number of nickeis be x
and pennies be y
COIN count
x+y=1422..............................(1)
the total collection is worth 45.22.
Value count
5x+y=4522............................(2) (convert to pennies)
subtract eq 1 from 2
4x = 3100
x= 775 number of nickels
remaining pennies out of 1422
RELATED QUESTIONS
In a collection of coins consisting of only nickels and pennies, the total value is $1.10 (answered by mananth)
A collection of coins contains only nickels and dimes. The collection includes, 31 coins... (answered by ReadingBoosters)
Ben has a coin collection made up of pennies and nickels. If he has three times as many... (answered by stanbon)
If a collection of coins contains 15% pennies, 20% nickels, and 10% dimes, how many of... (answered by ankor@dixie-net.com)
Sanchez has a collection of pennies, nickels, and dimes worth $9.35. He has five more... (answered by addingup)
Laura has a coin collection made of pennies and nickels worth $4.16. She has three times... (answered by ikleyn,Alan3354)
Keisha has a collection of dimes and nickels worth a total of $4. If she has 50 coins in... (answered by sck12,Alan3354)
In a collection of coins containing only dimes and nickels there are 8 fewer dimes than... (answered by ewatrrr)
Stefan has a collection of nickels, dimes, and quarters. In all, he has 24 coins. seven... (answered by stanbon)