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Cathy has 39 coins, which are either nickels or quarters. If she has $4.95, how many nickel coinsdoes she have? _____ nickels

User IgorGIS
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2 Answers

4 votes
24 nickels cuz im smart im jk
User MD MEHEDI HASAN
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7.7k points
3 votes

Answer: 24 nickels

Explanation:

1. n= nickels

q=quarters

2. n+q=39

.05n+.25q=4.95

3. n=39-q (Replace n with what n is equal to in the other equation) .05(39-q)+.25q=4.95

4. Solve for q: (.05x39)+(.05x-q)+.25q=4.95

5. 1.95-.05q+.25q=4.95 (Combine like terms)

6. 1.95+(-.05q+.25q)=4.95

7. 1.95+0.2q=4.95

8. Move 1.95 to the other side of equal sign by subtracting it from both sides. 0.2q=3

3/0.2= 15... so quarters=15

So if you look back at the other equation it says n+q=39. So, 39-15=24. There is 24 nickels.

User Moraes
by
8.4k points
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