Math 8th Grade
posted by Blakey on .
I have a bunch of nickels and quarters worth $7.85 in my [pocket. How do I write a system of equation to solve and determine how many of each coin I have!!

5N + 25Q = 785
N + 5Q = 157
N = 157  5Q
Of course you cannot have a unique solution, since you don't have enough information to form a second equation.
But...
you said he has a bunch of nickels and quarters, so he has at least one of each
so let Q be a number form 1 to 25 to get different combinations
Q N  combination  value
1 152  1 quarter + 152 nickels = $7.85
2 147 2 quarters + 147 nickels = $7.85
...
25 32  25 quarters + 32 nickels = $7.85