PLEASE ANSWER PLEASE Tom ate one-third of the candies in a box. Roger ate two-fifths of the remaining candies. There were 18 candies left. How many candies were in the box to start with?

90 Candies

Step-by-step explanation:

Since Roger ate 2/5 of the remaining candies, we know that 18 is 3/5 of the remaining. 18/3 is 6, so 1/5 of the remaining is 6 candies. 6*5 = 30, so there were 30 candies remaining. Since Tom ate 1/3 of the total candies, we can multiply 30 by 3 to get a total of 90 original candies in the box.

Starting #of candies = 45

Tom ate 1/3 of that ⇒ Tom ate (1/3 * 45 =) 15 candies ⇒   candies left (= 45 - 15 =) 30 ⇒ Roger ate two-fifths of the reamaining candies ⇒     Roger ate [2/5 * 30 =] 12 candies ⇒   candies left (= 30 - 12 =) 18