Kevin and Randy Muise have a jar containing 65 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $8.65 How many of each type of coin do they have?

Question

Kevin and Randy Muise have a jar containing 65 ​coins, all of which are either quarters or nickels. The total value of the coins in the jar is ​$8.65 How many of each type of coin do they​ have?

ngockhue · Answer

The number of  quarters  or  nickels  Kevin and Randy Muise have in the jar is  27  and  38  respectively.    Simultaneous equation     A nickel = 5 cents  A quarter = 25 cents     n + q = 65  0.05n + 0.25q = 8.65    From equation (1)  n = 65 - q    substitute n = 65 - q into (2)  0.05n + 0.25q = 8.65    0.05(65 - q) + 0.25q = 8.65    3.25 - 0.05q + 0.25q = 8.65    - 0.05q + 0.25q = 8.65 - 3.25    0.20q = 5.40    q = 5.40/0.20     q = 27     Substitute into (1)  n + q = 65    n + 27 = 65    n = 65 - 27     n = 38     Learn more about  quarters  and  nickels :  https://brainly.com/question/17127685    #SPJ1

Simultaneous equation

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