Answer:
1/3
Step-by-step explanation:
We are given ...
barrettes : hair ties = 5 : 7
barrettes : hair bands = 5 : 8
Then the combined ratios are ...
barrettes : hair ties : hair bands = 5 : 7 : 8
For every 5 barrettes, there are 7+8 = 15 hair ties and bands, so their ratio is ...
barrettes/(hair ties and bands) = 5/15 = 1/3
Answer:[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given
There are [tex]\frac{5}{7}[/tex] as many barrettes as hair ties in Sasha's hair supplies
i.e. [tex]\frac{Barrettes}{hair ties}=\frac{5}{7}[/tex]
Hair ties =[tex]Barrettes\frac{7}{5}[/tex]
Also There [tex]\frac{5}{8} [/tex]barrettes as hair bands in Sasha's supplies
i.e. [tex]\frac{Barrettes}{hair bands}=\frac{5}{8}[/tex]
Hair Bands=[tex]Barrettes\frac{8}{5}[/tex]
Ratio of the number of Barrettes to the total number of hair ties and bands
[tex]\frac{Barrettes}{Hair band +ties}=\frac{Barrettes}{Barrettes\frac{8}{5}+Barrettes\frac{7}{5}}[/tex]
[tex]=\frac{1}{\frac{8}{5}+\frac{7}{5}}=\frac{5}{8+7}[/tex]
[tex]=\frac{5}{15}=\frac{1}{3}[/tex]
