SOLUTION: Hi A V and W had a total of 510 stickers. The ratio of A to V stickers was 6:7 at first. After A and V each gave away half of their stickers the 3 had 345 stickers left. How many

Question 1177095: Hi
A V and W had a total of 510 stickers. The ratio of A to V stickers was 6:7 at first. After A and V each gave away half of their stickers the 3 had 345 stickers left. How many did W have at first.
Thank you
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
A + V + W = 510

510 - 1/2 * (A + V) = 345

this means that 1/2 * (A + V) = 165, because 510 - 165 = 345.

this means that (A + V) = 330

since A + V + W = 510, then:

W must be equal to 510 - 330 = 180.

that should be your answer.

the additional information that A/V = 6/7 looks like it was extraneous, as it does not appear that it had anything to do with solving the problem.

Answer by ikleyn(52818)   (Show Source): You can put this solution on YOUR website!
.
A V and W had a total of 510 stickers. The ratio of A to V stickers was 6:7 at first. After A and V each
gave away half of their stickers the 3 had 345 stickers left. How many did W have at first.
~~~~~~~~~~~~~~~~~

                As a continuation of the solution by @Theo.
            ===============================================

In this problem, the imposed conditions CONTRADICT each to the other, so such integer numbers,
satisfying the imposed conditions, DO NOT EXIST.

Indeed, if the sum   A + V = 330,   as @Theo correctly found in his solution, then the ratio of A to V stickers CAN NOT be   6:7,

since there are no such integers A and V with the sum of 330 and with the ratio 6:7.

Thus this problem is a FAKE, good only for re-cycling.

RELATED QUESTIONS
Stickers were sold only in big sheets of 60 stickers each and small sheets of 25 stickers (answered by ikleyn,math_tutor2020,greenestamps)
Miss Lee distributed some stickers equally among 15 boys and 7 girls. Each boy gave 3/5... (answered by mananth)
Hi Howard had 40% more stickers than ivan .Howard gave away some stickers and the number (answered by greenestamps)
Hi After Jenny had given Melissa 16 stickers both had the same number of stickers. Linda (answered by josgarithmetic,ikleyn)
Blue stickers were sold in packet of 15 each. Green stickers were sold in packets of 40... (answered by Theo,MathTherapy)
A box of stickers was shared among four children. Faith and Ayan took {{{1/2}}} of the... (answered by greenestamps)
Audrey, Beth, Corrine, Dione had some stickers. The number of Audrey’s stickers was... (answered by greenestamps)
Bob, Jack and Paul have 115 stickers altogether. The ratio of Bob's stickers to Jack's... (answered by ankor@dixie-net.com)
Hi Mary and Gary had some stickers in the ratio of 5 to 3 respectively. After mary had... (answered by greenestamps)