a collection of quarters and nickels is worth $1.25. there are 13 coins all. how many of each are there?
Let N be the number of quarters.....
Then, 13 - N is the number of nickels
And
Value of each nickel * their number + Value of each quarter * their number = total value
5 (13 - N) + 25 (N) = 125 simplify
65 - 5N + 25 N = 125
65 + 20N = 125 subtract 65 from both sides
20N = 60 divide both sides by 20
N = 3 quarters
And 13 - N = 13 - 3 = 10 is the number of nickels