# SOLUTION: Kim has \$210 in \$5 bills and \$20 bills. She has a total of 24 bills. How many \$5 bills and how many \$20 bills does she have? Please show me the step by step solution. Thanks!

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 Click here to see ALL problems on Money Word Problems Question 124107: Kim has \$210 in \$5 bills and \$20 bills. She has a total of 24 bills. How many \$5 bills and how many \$20 bills does she have? Please show me the step by step solution. Thanks!Answer by ankor@dixie-net.com(15645)   (Show Source): You can put this solution on YOUR website!Kim has \$210 in \$5 bills and \$20 bills. She has a total of 24 bills. How many \$5 bills and how many \$20 bills does she have? : Let x = no. of \$5 bills Let y = no. of \$20 bills : Write an equation for each statement: "Kim has \$210 in \$5 bills and \$20 bills." 5x + 20y = 210 : "She has a total of 24 bills." x + y = 24 x = (24 - y) subtracted y from both sides, we are going to use this for substitution in the 1st equation : How many \$5 bills and how many \$20 bills does she have? : Using this equation; 5x + 20y = 210, substitute (24-y) for x, solve for y : 5(24-y) + 20y = 210 : 120 - 5y + 20y = 210; multiplied what's inside the brackets : -5y + 20y = 210 - 120; subtracted 120 from both sides : 15y = 90 y = ; divided both sides by 15 y = 6 ea \$20 bills : We know x = 24 - y; substitute 6 for y x = 24 - 6 x = 18 ea \$5 bills : : Check our solution in the \$equation 18(5) + 6(20) = 90 + 120 = 210; confirms our solution : : Was this step-by-step enough for you? Any questions?