# SOLUTION: Marcia has 65 game pieces with a total value of 89 points. Each game piece is worth one or two points. How many two-point game pieces does she have?

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 Question 246051: Marcia has 65 game pieces with a total value of 89 points. Each game piece is worth one or two points. How many two-point game pieces does she have?Answer by Theo(3464)   (Show Source): You can put this solution on YOUR website!x = number of game pieces with 1 point. y = number of game pieces with 2 points. x + y = 65 1x + 2y = 89 use first equation so solve for y to get y = 65-x substitute for y in second equation to get 1x + 2*(65-x) = 89 simplify to get 1x + 130 - 2x = 89 subtract 130 from both sides of equation to get 1x - 2x = 89 - 130 combine like terms to get -x = -41 multiply both sides of equation by -1 to get x = 41 if x = 41, then y = 24 because x + y = 65, and 41 + 24 = 65 as for the points: 41 * 1 = 41 24 * 2 = 48 41 + 48 = 89 so the point totals match up. your answer is: she has 24 game pieces worth 2 points each.