Answer: 24 nickels
Step-by-step 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.
