A box of candies is shared. Ravi takes 1/4, Sara takes 1/3, and Mohan takes 1/6 of the box. The 6 candies that remain are given to the cook. If the leftover fraction equals these 6 candies, how many candies were in the box at the start?

Question

Accepted Answer

24. Taken = 1/4 + 1/3 + 1/6 = 3/12 + 4/12 + 2/12 = 9/12 = 3/4. Leftover = 1 - 3/4 = 1/4. If 1/4 of the box = 6 candies, then the box = 6 × 4 = 24 candies.

A box of candies is shared. Ravi takes $\frac{1}{4}$ , Sara takes $\frac{1}{3}$ , and Mohan takes
$\frac{1}{6}$ of the box. The 6 candies that remain are given to the cook.
If the leftover fraction equals these 6 candies, how many candies were in the
box at the start?

Step-by-Step Solution

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More Class 6 Addition and Subtraction of Fractions practice

A box of candies is shared. Ravi takes 41​, Sara takes 31​, and Mohan takes61​ of the box. The 6 candies that remain are given to the cook.If the leftover fraction equals these 6 candies, how many candies were in thebox at the start?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 6 Addition and Subtraction of Fractions practice

A box of candies is shared. Ravi takes $\frac{1}{4}$ , Sara takes $\frac{1}{3}$ , and Mohan takes
$\frac{1}{6}$ of the box. The 6 candies that remain are given to the cook.
If the leftover fraction equals these 6 candies, how many candies were in the
box at the start?