Question

In a room, there are 32 boys and 16 girls. What is the ratio of boys to girls?

A) 32:16
B) 16:8
C) 8:4
D) 4:2

Answer 1

The simplified ratio of boys to girls in the room is 2:1. Option A) 32:16 is the ratio before simplification and is the correct answer based on the options provided.

Step-by-step explanation:

The ratio of boys to girls in a room with 32 boys and 16 girls is found by dividing the number of boys by the number of girls. To simplify the ratio, we look for the greatest common divisor (GCD) that both numbers share. In this case, both 32 and 16 are divisible by 16.

So, when we divide both numbers by 16, we get the simplified ratio:

• 32 ÷ 16 = 2
• 16 ÷ 16 = 1

The simplified ratio of boys to girls is therefore 2:1.

Choosing from the given options, none directly match the simplified ratio of 2:1. However, option A) 32:16 represents the same ratio before simplification and is the correct choice based on the options provided.