Question

during a checkers game, there are 16 pieces left. the ratio of black to red is 3 : 5. how many black pieces are on the board? there are \\(\square\\) black pieces on the board.

Explanation:

Step1: Find total parts in ratio

The ratio of black to red is \( 3:5 \), so total parts are \( 3 + 5 = 8 \).

Step2: Find value of one part

There are 16 pieces in total. So one part is \( \frac{16}{8} = 2 \).

Step3: Find number of black pieces

Black pieces are 3 parts, so number of black pieces is \( 3\times2 = 6 \).

Answer:

6