Mike ate 1/6 of the total hamburgers in the refrigerator in the morning and then 1/2 of the remainder at lunch. If there were 5 hamburgers left, how many of them were there originally?

LOGIC-mike ate x/6 hamburgers in morning and then 1/2 of the remainder at lunch so 1/2 of the remainder was left which was equal to 5 so 10 hamburgers were left after morning meaning 5/6 of x=10 which gives x=12 hamburgers

Mathematically- x/6+5x/12+5=x which when solved for x gives the same answer x=12
why 5x/12? because after morning 5/6 of x was left and by lunch he ate half of it meaning 5/12 of x was eaten during lunch