Question

A shop sells three types of boots sales are usually in the ratio of 6:2:3 last month 24 football boots were sold how many boots altogether were sold last month

Answer 1

44 boots were sold last month. Not 22.

Explanation:

x = football boots

y = rugby boots

z = hiking boots

Now we write the equations:

(x / y) = 6/2

(y / z) = 2/3

For x = 24 we have:

(24 / y) = 6/2

(24 / y) = 3

y = 24/3

y = 8

On the other hand:

(y / z) = 2/3

(8 / z) = 2/3

(8) * (3/2) = z

z = 12

So, the sum is:

x + y + z = 24 + 8 + 12 = 44

Answer 2

The three types of boots are sold in the ratio 6:2:3.

This ratio may be written as 6x:2x:3x where x is a variable.
When 24 boots are sold, then
6x + 2x + 3x = 24
11x = 24
x = 24/11 = 2.18

Because we do not have fractional boots, x = 2.
Total boots sold = 6*2 + 2*2 + 3*2 = 12 + 4 + 6 = 22

Answer: 22