Question

At a football match the ratio of adults to children is 3:1 . The ratio of boys to girls is 3:2. What fraction of all the people at the football match are girls?

Answer 1

Ответ:1/10 = 0,1

Пошаговое объяснение:

Соотношение взрослых к детям = 3:1 , т.е. на 3 взрослых приходится 1 ребёнок, отсюда количество детей = 1/4 от всего количества людей.

Соотношение девочек к мальчика = 2:3, т.е на 3 мальчика приходится 2 девочки а общее число девочек от всего число детей = 2/5.

(1/4)*(2/5)=1/10=0,1

Answer 2

Let's break down the problem step by step:

1. Ratio of adults to children: 3:1
2. Ratio of boys to girls: 3:2

Let's assume that the common factor between the ratios of adults to children and boys to girls is 3 (since both have 3 in the numerator). This means we can start by considering 3 adults, 1 child, 3 boys, and 2 girls.

Now, we need to find the least common multiple (LCM) of 1 (child) and 2 (girls), which is 2. This will allow us to scale up the ratios to match the LCM and find the actual number of people involved.

Scaled up ratios:

• Adults:Children = 3:1 (No change needed since the LCM is 1)
• Boys:Girls = 3(2):2(2) = 6:4 = 3:2

So, in terms of the scaled-up ratios, we have 3 adults, 1 child, 3 boys, and 2 girls.

To find the total number of people, we add these quantities: 3 + 1 + 3 + 2 = 9.

Now, let's find the fraction of girls: Number of girls = 2 Total number of people = 9

Fraction of girls = (Number of girls) / (Total number of people) = 2/9

Therefore, the fraction of all the people at the football match that are girls is 2/9.