Answer: Number of white socks Fran has =18
Number of white socks Mia has = 9
Step-by-step explanation:
Since we have given that
Fran buys socks in such a way that it contains nine pairs of white socks for every three pairs of blue socks i.e.
Ratio becomes
[tex]9:3=3:1[/tex]
Similarly,
Mia buys socks and packages in such a way that it contains two blue pairs for every one white pair
So, ratio becomes
[tex]2:1[/tex]
Now, from the case of Fran, we have given that she has 6 pairs of blue socks .
So, we get that
[tex]\frac{1}{4}\times x=6\\=x=24\\\\\text{So, number of white socks becomes }=\frac{3}{4}\times 24=\frac{72}{4}=18[/tex]
Similarly,
From the case of Mia , we have given that she has 6 pairs of blue socks .
we get that
[tex]\frac{2}{3}\times y=6\\y=9\\\\\text{So, number of white socks Mia has }=\frac{1}[3}\times 9=3[/tex]
So, Number of white socks Fran has =18
Number of white socks Mia has = 9