Question

In a game with a spinner, 12 people won the prizes out of 60 people.
Predict how many would get the prize if 20 more people participate in the game.
4
8
12
16

Answer 1

To predict how many people would win prizes if 20 more people participate in the game, we first need to establish the winning rate based on the initial data.

From the original group of 60 people, 12 won prizes. The winning rate can be calculated as follows:

\[
\text{Winning rate} = \frac{\text{Number of winners}}{\text{Total participants}} = \frac{12}{60} = \frac{1}{5}
\]

This means that, on average, 1 out of every 5 participants wins a prize.

Now, if 20 more people join, the total number of participants becomes:

\[
60 + 20 = 80
\]

Using the winning rate of \( \frac{1}{5} \), we can predict the number of winners among the 80 participants:

\[
\text{Predicted winners} = \text{Total participants} \times \text{Winning rate} = 80 \times \frac{1}{5} = 16
\]

Thus, if 20 more people participate in the game, we would predict that 16 people would win prizes.

The correct answer is **16**.