# SOLUTION: A cash register had 5 times as many quarters as nickels, two fewer dimes than nickels, and 30 pennies. All together, the cash register contains \$8.50 in change. How many nickles ar

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 Click here to see ALL problems on Money Word Problems Question 61329: A cash register had 5 times as many quarters as nickels, two fewer dimes than nickels, and 30 pennies. All together, the cash register contains \$8.50 in change. How many nickles are in the cash register?Answer by ptaylor(2048)   (Show Source): You can put this solution on YOUR website!We'll let x=number of nickels in register Then 5x=number of quarters and (x-2)=number of dimes and 30=number of pennies Whatever monetary units we deal in (pennies, nickels, dollars, etc.), we have to be consistent. I choose to deal in pennies. Now we know that the amt of money in nickels (x)(5)plus the amt of money in dimes(x-2)(10)plus the amt of money in quarters (5x)(25) plus the pennies (30) has to equal 850. (Remember, we are dealing in pennies). Thus, our equation to solve is: 5x+10(x-2)+5x(25)+30=850 Simplifying, we get: 5x+10x-20+125x+30=850 further simplifying, we get: 140x=840 x=6 nickels 5x=(5)(6)=30 quarters x-2=6-2=4 dimes and, of course, 30 cents Hope this helps ----ptaylor