# SOLUTION: My son need help with his math homework,we have tried to work it since he been home from school the problem is; Dennis mowed his next door neighbor's lawn for a handful of dimes

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 Question 399110: My son need help with his math homework,we have tried to work it since he been home from school the problem is; Dennis mowed his next door neighbor's lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he countesd out the coins and it came to to \$6.60. how many of each coin did he earn? Have to use a linear system to solveAnswer by ankor@dixie-net.com(16523)   (Show Source): You can put this solution on YOUR website!Dennis mowed his next door neighbor's lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to to \$6.60. how many of each coin did he earn? : Let n = no. of nickels; let d = no. of dimes : The no. of coins equation: n + d = 80 or n = (80-d), use this for substitution in the value equation : The total value equation .05n + .10d = 6.60 Replace n with (80-d) .05(80-d) + .10d = 6.60 4 - .05d + .10d = 6.60 -.05d + .10d = 6.60 - 4 .05d = 2.60 d = 2.6/.05 d = 52 dimes then 80 - 52 = 28 nickels : : See if that come out right .05(28) + .10(52) = 1.40 + 5.20 = 6.60 confirms our solution of 28 nickels and 52 dimes