# SOLUTION: a collection of dimes and quarters is worth \$16.20. there are 81 coins in all. how many dimes and how many quarters?

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 Question 574161: a collection of dimes and quarters is worth \$16.20. there are 81 coins in all. how many dimes and how many quarters?Answer by Maths68(1474)   (Show Source): You can put this solution on YOUR website! Let Quarters=x Dimes=81-x Total Coins=81 Value of a Quarter = \$0.25 Value of a Dime = \$0.10 Total value of all coins = \$16.20 (Value of a Quarter)(Quarters)+(Value of a Dimes)(Dimes)= Total value of all coins (0.25)(x)+(0.10)(81-x)=16.20 0.25x+8.1-0.10x=16.20 0.25x-0.10x=16.20-8.10 0.15x=8.1 0.15x/0.15=8.1/0.15 x=54 Quarters=x=54 Dimes=81-x=81-54=27 Check ===== Total Quarters*value of a Quarter+Total Dimes*value of a Dime = Total Amount 54*0.25+27*0.1=16.20 13.5+2.7=16.20 16.20=16.20