Solve this Math question (I made it up)

EDIT:

Actually, A Modest Proposal is absolutely right. I apologize. This is a tricky one!

If Peter had a score of 18. Then 5/6 of that is (5/6)(18)=15. 1/3 of Joy's score is 15 so Joy scored 45.

45:18 is 5:2 so THAT is actually the right answer and not what I had before.

EDIT: Woah, don't get all worked up. I see your point.

Let j= joys score
let p = peters scores

we need to find

j
▬
p

we know (1/3)j =(5/6)p

so j = 3(5/6)p = (15/6)p

so

j......(15/6)p
▬ =▬▬
p.......p

and that ratio is simply 15/6 = 5/2

1/3 =2/6. Therefore :
2/6 of J's total score= 5/6 P's total score. It means that J's total score =5/2 P's total score. On the other hand, the ratio of J's total score to P's total score is 5:2

2.5

2:5