Kevin and Randy Muise have a jar containing 53 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $10.25. How many of each type of coin do they have?

The jar contains ____ quarters.
The jar contains ____ nickels.

Question

Kevin and Randy Muise have a jar containing 53 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $10.25. How many of each type of coin do they have?

The jar contains ____ quarters.
The jar contains ____ nickels.

campbell_st · Answer

you need to have a set of equations

      q +       n = 53                 ( the number of nickels and quarters)

0.25q + 0.1 n = 10.25             ( value of your coins)

you need to solve them simultaneously

anonymous · Answer

how do you do that

campbell_st · Answer

ok... multiply the 2nd equation by 4 and subtract it from the 1st equation this will eliminate q and allow you to find the number of nickels

     q  +      n = 53
 -  q  + 0.4 n = 41
----------------
            0.6 n = 12

                  n = 12/0.6

so there are 20 nickels... 

how may quarters...?