Question

mr Young had some bottles of apple juice and orange juice the ratio of the number to the bottles of apple juice for the number of bottles of orange juice 3:2 after he sold 64 bottles of apple juice the ratio became 1:6 how many bottles of apple juice and orange juice did Mr Young have in the end?

Answer 1

`beginning:\\ 3x-\ apple\ juice\\2x-\ orange\ juice\\\\ after\ delling\ 64\ bottles\ of\ apple\ juice:\\ y-\ apple\ juice\\ 6y-\ orange\ juice\\\\ 3x-64=y\\ 2x=6y\ \ \ | divide\ by\ 2\\ x=3y\\\\ 3*3y-64=y\\ 9y-64=y\ \ \ | subtract\ 9y\\ -64=-8y\ \ \ | divide\ by\ -8\\ y=8\\\\ At\ the\ end\ he\ has\ 8\ apple\ juice\ and\ 48\ orange\ juice.`