Karen operates a hot dog stand. On Wednesday she used 9 1/3 bags of hot
dog buns. On Thursday she used 1/3 as many hot dog buns as on
Wednesday. How many bags of hot dog buns did Karen use on Thursday?

Respuesta :

Explanation:

We know that Karen operates a hot dog stand. So we have:

On Wednesday:

[tex]\text{She used} \ 9 \frac{1}{3} \ \text{bags of hot dog buns.}[/tex]

On Thursday:

[tex]\text{She used} \ \frac{1}{3} \ \text{as many hot dog buns as on Wednesday}[/tex]

Therefore, if x is the amount of hot dog buns she used on Thursday, then:

[tex]x=\frac{1}{3}(9\frac{1}{3}) \\ \\ x=\frac{1}{3}\times 9+\frac{1}{3}\times \frac{1}{3} \\ \\ x=\frac{28}{9}[/tex]

Therefore, on Thursday she used 28/9 bags of hot  dog buns.