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

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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.
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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.
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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