SOLUTION: Kelly, Laura, and Tia sold boxes of cookies for a fundraiser. Kelly sold 15 boxes less than Laura. Tia sold twice as many boxes as Kelly. If they sold 83 boxes of cookies in total,

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Kelly, Laura, and Tia sold boxes of cookies for a fundraiser. Kelly sold 15 boxes less than Laura. Tia sold twice as many boxes as Kelly. If they sold 83 boxes of cookies in total,      Log On

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Question 1106393: Kelly, Laura, and Tia sold boxes of cookies for a fundraiser. Kelly sold 15 boxes less than Laura. Tia sold twice as many boxes as Kelly. If they sold 83 boxes of cookies in total, how many boxes did each girl sell?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the number that Laura sold
+x+-+15+ = the number that Kelly sold
+2%2A%28+x+-+15+%29+ = the number that Tia sold
-------------------------------------------
+x+%2B+x+-+15+%2B+2%2A%28+x+-+15+%29+=+83+
+2x+-+15+%2B+2x+-+30+=+83+
+4x+=+83+%2B+15+%2B+30+
+4x+=+83+%2B+45+
+4x+=+128+
+x+=+32+
and
+x+-+15+=+32+-+15+
+x+-+15+=+17+
and
+2%2A%28+x+-+15+%29+=+2%2A17+
+2%2A%28+x+-+15+%29+=+34+
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Kelly sold 17 boxes
Laura sold 32 boxes
Tia sold 34 boxes
--------------------------
check:
+17+%2B+32+%2B+34+=+83+
+83+=+83+
OK