Question

Kevin and Randy Muise have a jar containing 86 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $ 12.90 . How many of each type of coin do they have

Answer 1

43 quarters and 43 nickels

Explanation:

let q = the number of quarters

let n = the number of nickels

q + n = 86 solve for n: n= 86 - q

.25q + .05n = 12.90 Multiply through by 100

25q + 5n = 1290 Substitute 86 - q for n.

25q + 5(86 -q) = 1290 Distribute the 5

25q + 430 - 5q = 1290 Combine like terms

20q + 430 = 1290
Subtract 430 from both sides

20q + 430 - 430 = 1290 - 430

20q = 860 Divide both sides by 20

q = 43

There are 43 quarters.

n = 86 - q

n = 86 - 43

n = 43

There are 43 nickels.

Helping in the name of Jesus.