Question

Kevin and Randy Muise have a jar containing 56 ​coins, all of which are either quarters or nickels. The total value of the coins in the jar is ​$6.20. How many of each type of coin do they​ have?

Answer 1

the answer would be 39 nickels and 17 quarters

Explanation:

i did guess and check so i will just give the answer and the work for it

4.25/.25=17 quarters

56-17=39

39*.05=1.95

1.95+4.25=6.20

Answer 2

Answer: They have 17 quarters and 39 nickels.

Explanation:

The worth of a quarter is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let x represent the number of quarters that they have.

Let y represent the number of nickels that they have.

Kevin and Randy Muise have a jar containing 56 ​coins, all of which are either quarters or nickels. This means that

x + y = 56

The total value of the coins in the jar is ​$6.20. This means that

0.25x + 0.05y = 6.2 - - - - - - - - - - - 1

Substituting x = 56 - y into equation 1, it becomes

0.25(56 - y) + 0.05y = 6.2

14 - 0.25y + 0.05y = 6.2

- 0.25y + 0.05y = 6.2 - 14

- 0.2y = - 7.8

y = - 7.8/ - 0.2

y = 39

x = 56 - y = 56 - 39

x = 17