Question

Aisha, Ben and Cheng enter a school weekly competition. They earn 8 points for coming first, 2 points for coming second and 1 point for coming third. In each week, they come first, second and third in some order. After 5 weeks, the total score for Aisha was 12, for Ben was 34 and for Cheng 9. What is the smallest number of additional weeks for them to all have the same score?

Answer 1

looks like you are making progress :)
i'm up to like 10 weeks and can't get so all of them have same score yet

Answer 2

i dunno, the minimum i can make is 7 weeks

Answer 3

as in you end up with 4*8, 4*2 and 4*1 for each aisha ben and cheng. That makes 12 weeks and 12-the 5 original=7

Answer 4

yep, i was doing way more work than i needed to

Answer 5

4*8, 4*2 and 4*1 for each aisha ben and cheng. That makes 12 weeks and 12-the 5 original=7

Answer 6

then what were their scores?