A jar contains only nickels ($0.05) and dimes ($0.10). The value of the 107 coins in the jar is.95. Which of the following systems of equations, if properly solved, would result in the correct number of nickels in the jar, n, and the correct number of dimes in the jar, d?

there are 83 dimes and there are 24 nickels

Step-by-step explanation:

let n represent the number of nickels

let d represent the number of dimes

equation :

n + d = 107 OR d = 107 - n

0.05n + 0.10 d = 9.50

substitution :

0.05n + 0.10(107 - n) = 9.50

0.05n + 10.70 - 0.10n = 9.50

-0.05n = 9.50 - 10.70

-0.05n = -1.20

n = -1.20/-0.05

n = 24

there are 24 nickels

d = 107 - 24

d = 83

there are 83 dimes