Question

Kelly, Laura, and Tia so boxes of cookies for a fundraiser. Kelly sold 15 boxes less than Laura. Tia so twice as many boxes as Kelly. If they sold 83 boxes of cookies in total, how many boxes did each girl sell?

Answer 1

Answer:

Laura 32

Kelly 17 )

Tia 34  

Step-by-step explanation:

L+ (L-15)  + 2(L-15) = 83

4L - 45 = 83

4 L = 128

L =  32    

Laura 32

Kelly 17 (32-15)

Tia 34  (2*17)

32+17+34 = 83

Answer 2

Answer: Laura sold 32 boxes , Kelly sold 17 boxes and Tia sold 34 boxes.

Step-by-step explanation:

Let the number of boxes bought by Laura be x.

Then, the number of boxes bought by Kelly be x-15

and the number of boxes bought by Tia = 2(x-15)

According to the question , we have

$x+x-15+2(x-15)=83\\\\\Rightarrow\ 2x-15+2x-30=83\\\\\Rightarrow\ 4x-45=83\\\\\Rightarrow\ 4x=83+45\\\\\Rightarrow\ 4x=128\\\\\Rightarrow\ x=32$

Then, $x-15=32-15=17\ ;\ 2(x-15)=2(17)=34$

Hence, Laura sold 32 boxes , Kelly sold 17 boxes and Tia sold 34 boxes.