Please help me work through the below problem, thanks in advance!
The number of stamps the Kaye and Alberto had were in the ratio 5:3, respectively. After Kaye gave Alberto 10 of her stamps, the ratio of the number of stamps Kaye had to the number Alberto had was 7:5. As a result of this gift, Kaye had how many more stamps than Alberto?
I researched ratios further, and I think I just got it!
It's helpful to find the total number of stamps between them and then find their respective share post gift.
I see that Kaye's share post gift is 5/8 of the total minus 10 equals 7/12 of the total, or 5x/8 - 10 = 7x/5. Solving for x, the total number of stamps is 240. Returning to the post gift ratio, Kaye has 7/12 x 240 = 140 stamps and Alberto has 5/12 x 240 = 100 stamps. The difference between the two is 40. Kaye has 40 more stamps than Alberto after she gave him 10.