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 :

luana
[tex]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. [/tex]