SOLUTION: Hayden has two coin banks containing only nickles and quarters. The total value of the coins in the first bank is $2.90. In the second bank, Hayden has two more quarters than in th

Question 966637: Hayden has two coin banks containing only nickles and quarters. The total value of the coins in the first bank is $2.90. In the second bank, Hayden has two more quarters than in the first bank and twice as many nickles. the value of the coins in the second bank is $3.80. Determine the number of nickles and quarters Hayden has in the second bank.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Hayden has two coin banks containing only nickles and quarters. The total value of the coins in the first bank is $2.90. In the second bank, Hayden has two more quarters than in the first bank and twice as many nickles. the value of the coins in the second bank is $3.80. Determine the number of nickles and quarters Hayden has in the second bank.
***
let x=number of nickels in the first bank
let y=number of quarters in the first bank
2x=number of nickels in the second bank
y+2=number of quarters in the second bank
..
.05x+.25y=2.90 (first bank)
.05(2x)+.25(y+2)=3.80 (second bank)
..
.05x+.25y=2.90
.10x+.25y+.50=3.80
..
.05x+.25y=2.90
.10x+.25y=3.30
subtract:
-.05x=-.40
x=8
.25y=2.90-.05x=2.90-.40=2.50
y=10
..
2x=16
y+2=12
number of nickels in the second bank=16
number of quarters in the second bank=12
RELATED QUESTIONS
two coin banks contain only dimes and quarters. the total value of the coins in the first (answered by ankor@dixie-net.com)

A coin bank containing only dimes and quarters has 12 more dimes than quarters. The total (answered by ewatrrr)

a coin bank containing only dimes and quarters has 20 more dimes than quarters. the total (answered by Alan3354)

Kevin & Randy have a jar containing 50 coins all of which are either quarters or... (answered by ikleyn)

Two coins contain only dimes and quarters. The total value of the coins in the first bank (answered by dabanfield)

A bank contains 30 coins, consisting of nickles, dimes, and quarters. There are twice as... (answered by stanbon)

Tim's piggy bank contain's niclels, dime, and quarters. There are twice as many nickles... (answered by drk)

Kevin and randy muise have a jar containing 55 coins, all of which are either quarters or (answered by Edwin McCravy)

kevin and Randy Muise have a jar containing 85 coins, all of which are either quarters or (answered by Cromlix)