Question

Jennifer has a pocketful of change all in nickels and quarters. There are 11 coins with a total value of $1.15. Which system of equations can you use to find the number of each type of coin?

n + q = 11
n + q = 1.15

n + q = 11
5n+25q= 1.15

5n +25q =11
n + q = 1.15

n + q = 11
0.05n + 0.25q = 1.15

Answer 1

n + q = 11

0.05n + 0.25q = 1.15

Explanation:

Hi, to answer this question we have to write a system of equations:

n = number of nickel coins

q = number of quarter coins

Since there are 11 coins, the sum of the number of nickels and quarters must be 11:

n+q =11

Since:

1 nickel = $0.05

1 quarter = $0.25

The total value (1.15) must be equal to the product of the number of nickels (n) and the value of each nickel in dollars (0.05); plus the product of the number of quarters (q) and the value of each quarter in dollars (0.25)

0.05n + 0.25q = 1.15

The system is ;

n + q = 11

0.05n + 0.25q = 1.15