Question

Jim buys some candies and gives two-thirds of them to his friend John. Later, John shares half of the candies he got with his friend Anna. If Jim had initially bought 24 candies, how many candies does John and Anna get?

• A. John = 12 candies ; Anna = 6 candies
• B. John = 16 candies ; Anna = 8 candies
• C. John = 10 candies ; Anna = 5 candies
• D. John = 18 candies ; Anna = 9 candies

Answer 1

The correct option is B John = 16 candies ; Anna = 8 candies

$\text{Total number of candies bought by Jim}=24$

$\text{Fraction of candies given to John}=\frac{2}{3}$

$\text{Number of candies given to John}$

$=\frac{2}{3}\text{of 24 candies}$

$=\frac{2}{3}\times 24=\frac{2\times 24}{3\times 1}=\frac{48}{3}=16$

$⟹\text{John gets 16 candies from Jim}$

$\text{Fraction of candies John gives to Anna}=\frac{1}{2}$

$\text{Number of candies given to Anna}$

$=\frac{1}{2}\text{of 16 candies}$

$=\frac{1}{2}\times 16=\frac{1\times 16}{2\times 1}=\frac{16}{2}=8$

$⟹\text{Anna gets 8 candies from John}$