SOLUTION: Suppose I have $2.00 in nickels, dimes, and quarters. If I have the same number of each type of coin, how many coins do I have? A. 6 B. 9 C. 12 D. 15 E. 18

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Question 252168: Suppose I have $2.00 in nickels, dimes, and quarters. If I have the same number of each type of coin, how many coins do I have?
A. 6 B. 9 C. 12 D. 15 E. 18

Answer by nerdybill(7384) About Me  (Show Source):
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Suppose I have $2.00 in nickels, dimes, and quarters. If I have the same number of each type of coin, how many coins do I have?
A. 6 B. 9 C. 12 D. 15 E. 18
.
Let x = number of coins of each type:
then
.05x + .10x + .25x = 2
.05x + .35x = 2
.40x = 2
x = 2/.40
x = 5 (of each type)
.
Since we have three different types (nickel, dime, and quarter):
3x = 3(5) = 15
.
Answer: D