the coins in the stores cash register total $12.50

Question

The coins in the cash register total $12.50. The cash register contains only nickels, dimes, and quarters. There are twice as many dimes as nickels. There are also twice as many quarters as dimes. How many dimes are in the cash register?

Answer 1

n represents nickels

d represents dimes

q represents quarters

n=# of nickels

d=2n=# of dimes (there are twice as many dimes as nickels)

q=2(2n)=# of quarters (there are twice as many quarters as dimes)

0.05n+0.10(2n)+0.25(4n)=12.50

0.05n+0.20n+1.00n=12.50

1.25n=12.50

125n=1250

n=10 nickels

d=2n=20 dimes

q=4n=40 quarters

check: 10 nickels=$0.50

           20 dimes=$2.00

           40 quarters=$10.00

add the amounts to get $12.50