Given:
A school uniform shop has 3 red polos, 8 white polos, and 15 grey polos.
To find:
The number of red polos that will be sold out of the next 182 polos.
Solution:
A school uniform shop has 3 red polos, 8 white polos, and 15 grey polos. It means red, which and grey polos are sold in the ratio 3:8:15 respectively.
Let the number of red, which and grey polos are 3x, 8x and 15x respectively.
Total number of polos = 182
[tex]3x+8x+15x=182[/tex]
[tex]26x=182[/tex]
Divide both sides by 26.
[tex]x=\dfrac{182}{26}[/tex]
[tex]x=7[/tex]
Now,
[tex]\text{Red polos}=3x[/tex]
[tex]\text{Red polos}=3(7)[/tex]
[tex]\text{Red polos}=21[/tex]
Therefore, 21 red polos will be sold out of the next 182 polos.