Question

a shop sells three types of boots football,rugby,and hiking sales are usually in ratio 6:2:3 last month 24 pairs of football boots were sold how many boots altogether were sold last month

Answer 1

RATIO OF  football,rugby,and hiking is 6:2:3

so,let x ,   6x , 2x, 3x

last month 24 pair of football = 6x

===> 6x = 24

==> x = 4  

rugby = 2x

==> 2(4) ==> 8

hiking = 3x

==> 3(4)

==> 12

so, altogether were sold last month = 12+8+24

==>  44

answer = 44

Answer 2

Given: a shop sells three types of boots football,rugby,and hiking sales are usually in ratio 6:2:3 last month 24 pairs of football boots were sold

To find: how many boots altogether were sold last month.

Solution:

According to the question, 24 football boots were sold last month. Also, the ratio of the number of football boots to the number of rugby boots is given as follows.

$\frac{football}{rugby} = \frac{6}{2}$

Now, the number of rugby boots sold can be found as follows.

$\frac{24}{rugby} = \frac{6}{2}$

$rugby = \frac{24*2}{6}$

          $= 8$

So, 8 rugby boots were sold last month. Now, the ratio of the number of football boots to the number of hiking boots is given as follows.

$\frac{football}{hiking } = \frac{6}{3}$

So, the number of hiking boots sold last month is

$hiking = \frac{24*3}{6}$

           $= 12$

Hence, the total number of boots sold is calculated to be

$24 + 8 + 12 = 44$

Therefore, 44 boots altogether were sold last month.