<PRE><B>Question 246051</B>
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.





</PRE>