# Math

The value of 25 coins, consisting of dimes and quarters, is \$ 3.55. How many dimes are in the collection?

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1. 18 dimes = 1.80
7 qtrs = 1.75
Total = the \$3.55

Can you work it backwards, as I have no idea how to set an equation. It was instinct for me to see that initially I had to break the 55-cents down and then work with the \$3.00.

I'm sorry I can't help with setting the equation. JJ

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2. Total number of coins = 25
Number of dimes = x
Number of quarters = 25 - x
Value of 1 dime = .10
Value of 1 quarter = .25
Total value of coins = \$3.55

The equation:

.10(x) + .25(25 - x) = 3.55
.10x + 6.25 - .25x = 3.55
-.15x + 6.25 = 3.55
-.15x = -2.7
x = 18 dimes
25 - x = 25 - 18 = 7 quarters

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3. Ok thanks

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4. 34.67

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