Question 883553: In a collection of nickels and quarters, there are two more nickels than quarters. How many of each coin are there if the collection is worth $3.40?
We are trying to assist our daughter with this problem and can't find the solution, please help.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source):
You can put this solution on YOUR website! More nickels than quarters?
Let x = how many nickels
Let y = how many quarters.
Accounting for the money,  , units of dollars.
Simplify this money equation. Solve it either for x in terms of y, OR for y in terms of x. Substitute this into the inequality.
This could have more than one solution. Be sure you identify the solutions which are WHOLE numbers for x and y.
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website! In a collection of nickels and quarters, there are two more nickels than quarters. How many of each coin are there if the collection is worth $3.40?
We are trying to assist our daughter with this problem and can't find the solution, please help.
Let the number of quarters be Q
Then the number of nickels is: Q + 2
As each quarter is worth $0.25, and each nickel is worth $0.05, we can say that:
.25(Q) + .05(Q + 2) = 3.4
.25Q + .05Q + .1 = 3.4
.25Q + .05Q = 3.4 - .1
.3Q = 3.3
Q, or the number of quarters =  , or 
Number of nickels: 11 + 2, or 
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Check
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Quarters: 11, for a quarter-amount of 11(.25), or $2.75
Nickels: 13, for a nickel-amount of 13(.05), or $0.65
Total: 24 coins, for a total amount of $3.40
As seen also, there are 2 more nickels than quarters (13 nickels to 11 quarters)
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