A change maching contains nickels,dimes, and quarters. There are 75 coins in the machine, and the value of the coins is $7.25. There are 5 times as many nickels as dimes. Find the number of coins of each type in the machine.
>>...There are 75 coins in the machine...<<
>>...the value of the coins is $7.25...<<
We remove the decimals by multiplying through
by 100:
We can also simplify it further by dividing
through by
>>...There are 5 times as many nickels as dimes...<<
So we have this system of equations:
Can you solve that system? If not post again
asking how.
Solution:
50 nickels, 10 dimes, 15 quarters
Edwin