Question

A badminton club has 330 members. 240 are adults and the rest are children. Two thirds of the children are boys and the rest are girls. A) Show that the ratio of adults: boys: girls is 8:2:1 A year ago, the club had 200 adult members but the ratio adults: boys: girls was the same as it is now. B) Work out the number of boys in the club a year ago

Answer 1

The number of boys last year will be 50 boys

Explanation:

330 members with 240 adults

The number of children will be;

330-240 = 90

2/3 of 90 are boys

= 2/3 * 90 = 60 boys

Number of girls is 90-60 = 30

Ratio of adults:boys:girls

= 240:60:30

divide through by 30

= 8:2:1

b) A year ago, there were 200 adults but the ratio still remains same

Let the number of girls be x, the number of boys will be 2x

Thus, total number is 200 + x + 2x = 200 + 3x

Total ratio is 8 + 2 + 1 = 11

mathematically;

8/11 * (200 + 3x) = 200

8(200 + 3x) = 11(200)

1600 + 24x = 2200

24x = 2200-1600

24x = 600

x = 600/24

x = 25

So the number of boys will be 25 * 2 = 50