Kevin and Randy Muise have a jar containing 80 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $11.80. How many of each type of coin do they have?

Step-by-step explanation:

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39 quarters and 41 nickels

Step-by-step explanation:

Let the number of quarters be x and nickels be y.

Given:

Quarter is 25 centsNickel is 5 centsNumber of coins is 80Total amount is $11.80 = 1180 cents

We have equations:

x + y = 8025x + 5y = 1180

Solve the system by elimination, subtract 5 times the first equation from the second one:

25x + 5y - 5x - 5y = 1180 - 80*520x = 780x = 780/20x = 39

Find the value of y:

39 + y = 80y = 80 - 39y = 41

Verify:

25*39 + 5*41 = 975 + 205 = 1180

i wish i knew

Step-by-step explanation: