Question

Some chocolates are shared

between Gianna and Vitali in
the ratio 3:7. Gianna gets 12.
chocolates less than Vitali. Vitali
eats two-thirds of his share. How
many chocolates does Vitali now
have?

Answer 1

Explanation:

Initially, Gianna had 3x chocolates and Vitali had 7x chocolates.

We have 7x - 3x = 12. => 4x = 12, x = 3.

Now, Vitali only have (7/3)x chocolates left, which is (7/3)(3) = 7.

Answer 2

7 chocolates

Explanation:

Let the total number of chocolates be 10x.

Gianna gets 3x chocolates and Vitali gets 7x chocolates.

Since Gianna gets 12 chocolates less than Vitali, we have:

`\begin{aligned}7x - 3x &= 12 \\\\ 4x &= 12 \\\\ x &= (12)/(4) \\\\ x &= 3 \end{aligned}`

Vitali has 7x = 7 × 3 = 21 chocolates.

After eating two-thirds of his share, Vitali has:

`\sf 21 -(2)/(3) * 21 = 21-14 =7 chocolates`

Therefore, Vitali now has 7 chocolates.