SOLUTION: 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

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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 

========

Check

======== 

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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