SOLUTION: A collection of nickels, dimes, and quarters consist of
14
14
coins with a total of
$
1.75
$1.75
. If the number of dimes is equal to the number of nickels, find the numbe
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Question 1130026: A collection of nickels, dimes, and quarters consist of
14
14
coins with a total of
$
1.75
$1.75
. If the number of dimes is equal to the number of nickels, find the number of each type of coins.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
N = number of nickels = number of dimes
Q = number of quarters = 14 - 2N
Using units of cents we can write an equation based on the total VALUE of the coins:
25(14-2N) + 10N + 5N = 175
Solve this to find N=5 then 14-2N = Q = 4
Ans:
5 nickels
5 dimes
4 quarters
Check:
5*5 + 10*5 + 25*4 = 25 + 50 + 100 = 175
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