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x= # of pencils that cost .45 y= # of pencils that cost .65 So now you need 2 equations for 2 variables: 15= x+y This equation is saying: 15 total pencils bought= pencils that cost .45 + pencils that cost .65 The second equation is: 7.75= .45x + .65y This equation is saying: total money spent (7.75)= price of pencils (.45) times # of pencils + price of pencils (.65) times # of pencils Then you combine these two equations, but first switch around the first equation to look like: y=15-x Then you replace the "y" in the second equation by putting in what y equals the first equation: 7.75= .45x + .65(15-x) Then distribute and solve for x: x = 10 Then enter 10 into the first equation for x to figure out y: y= 15- 10 y= 5 So your answer is-- Ray bought 10 pencils that cost .45 and 5 pencils that cost .65

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