Question

The girls father was giving out snickers to the kids that came to their door, but by the time trick-or-treating was finished, he had a lot left over. Grace took ½ of the snickers that were left in the big dish, and passed the dish to Sophia. Sophia took ⅓ of the remaining snickers and passed the dish to Ella. Ella then took ¼ of the licorice that remained and passed the dish to her father who ate the last 12 snickers. How many snickers did Grace take?

Answer 1

Given that Ella had 12 snickers left after she took 3/4 of them, Sophia was left with 72 after taking 1/3 of the total snickers she had. After calculations, we found that Grace must have started with 144, so she took 144 - 72 = 72 snickers.

Step-by-step explanation:

This problem can be solved step by step with some algebraic equations. Since we know Ella took the leftover candies and left only 12 snickers for her father, we can start there. Let's denote the initial amount of snickers left for Ella as 'E'. Ella took ¼ of them, so ¼E = 12. So, solving for E, we get E = 12 * 4 = 48.

Moving onto Sophia's part of the problem, Sophia got an amount before Ella did. So, after Sophia took 1/3 of the snickers, 48 remained. Let's denote the initial amount of snickers remaining for Sophia to take as 'S'. So, 2/3S = 48, thus S = 72.

Finally, let's analyze Grace's part of the problem. We know that after Grace took 1/2 of the snickers, there were 72 left. Let's denote the total amount remaining before Grace took candies as 'G'. So, 1/2G = 72. So, solving for G we get G = 144.

Therefore, the number of snickers Grace took is 144 - 72 = 72.

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