Write a system of equation based on the problem A quarter is worth $0.25 and a nickle is worth $0.05. Suppose the number of quarters is represented by q and the number of nickels is represented by n.
First Equation "There are 7 more quarters than nickels" could be written as ⇒ q = n + 7
Second Equation "There is a total of $2.65" could be written as ⇒ 0.25q + 0.05n = 2.65 (change to whole number, multiply both side by 100) ⇒ 25q + 5n = 265
Work on the system of equation Substitute q = n + 7 to the second equation 25q + 5n = 265 25(n + 7) + 5n = 265 25n + 175 + 5n = 265 30n + 175 = 265 30n = 265 - 175 30n = 90 n = 90/30 n = 3 The number of nickels is 3
Substitute n = 3 to the first equation q = n + 7 q = 3 + 7 q = 10 The number of quarters is 10
So basically what ur gonna have to do if divide 2.65 into 25 so it is gonna be 2.65 divided by 25 and what ever number you get is how many number of quarters there are