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Jonas placed a dish of his favorite candies next to his seat while he sat down for a Netflix movie binge. He ate 1/2 of the candies during the first movie. During the second movie, he ate 1/3 of the remaining candies. Then, during the third movie, he ate only 1/4 of the candies he had left. At the end of the third movie, he had 24 candies left. How many candies did he have at the start of his movie watching binge?

Sagot :

The number of  candies he has at the start of his movie-watching binge is 30 candies

Ratios and proportions

Let the number of candies he has at the start of his movie-watching binge be x

If he ate 1/2 of the candies during the first movie, the remaining will be 1/2 x

If he ate 1/3 of the remaining candies, the number of candles he ate = 1/3(1/2)x = 1/6x

If during the third movie, he ate only 1/4 of the candies he had left, the amount ate = 1/4(5/6)x = 5/24 x

The amount remaining = 19/24 x = 24

19x = 24 * 24

x = 30

Hence the number of  candies he has at the start of his movie-watching binge is 30 candies

Learn more on ratios here; https://brainly.com/question/2328454