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# Question

# Answer

I believe there is an error in this question. The boys had **266 more sweets than the girls instead of 264… 264 will result in decimal instead of whole number.**

u = number of sweets per child

Before:

G [—————–14u——————-]

B [——–8u————]

After:

G [(1/3)(14u)]<————-266———————>

B [——–8u————][—-(2/3)(14u)————]

(1/3)(14u) + 266 = 8u + (2/3)(14u) <———— x 3 on both sides

14u + 798 = 24u + 28u

38u = 798

u = 21

Number of sweets girls have at first = 14u = 14 x 21 = 294

Number of sweets girls gave to the boys = (2/3) (294) = 196

PS: Aaron, please check if the answer is correct and click on “Accept answer” if it is.

the answer key stated 308 as the answer

Let’s assume 308 is the correct answer.

u = number of sweets given to each child.

Boys = 8u, Girls = 14u

(2/3)(14u) = 308

14u = 462 => u = 33

So Boys = 8 x 33 = 264 and Girls = 14 x 33 = 462

Girls leftover sweets = 462-308 = 154

Boys received 308 sweets from Girls = 264+308 = 572

So 572 – 154 = 418 <> 264 (as stated in the question, after receiving 2/3 sweets from girls, difference is 264)

Hence 308 answer key is incorrect.

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