Respuesta :

ANSWER

Number of cups consumed by five cats

[tex]=5\times \frac{1}{4}[/tex]


[tex]= \frac{5}{4}[/tex] cups.


Number of cups consumed by four cats

[tex]=4\times \frac{1}{3}[/tex]


[tex]= \frac{4}{3}[/tex] cups.


Number of cups consumed by all nine cats

[tex]=\frac{5}{4} + \frac{4}{3}[/tex]

The LCM is 12. So we collect LCM to get;


[tex]= \frac{5\times 3+4\times4}{12}[/tex]


[tex]= \frac{15+16}{12}[/tex]


[tex]= \frac{31}{12}[/tex]


[tex]=2 \frac{7}{12}[/tex] cups









Answer:

 Food ate by 9 cats = 2.58333 cups

Explanation:

 Number of cats which eat 1/4 cup of cat food = 5

  Number of cats which eat 1/3 cup of cat food = 4

  Total number of cats = 5 + 4 = 9

  Total cup of food ate by cats = 5*1/4 + 4 *1/3

                                                   [tex]=\frac{5}{4} +\frac{4}{3} \\ \\ =\frac{3*5}{3*4} +\frac{4*4}{4*3}\\ \\ =\frac{15}{12} +\frac{16}{12}\\ \\= \frac{15+16}{12}\\ \\ =\frac{31}{12}=2.5833[/tex] cups.

So food ate by 9 cats = 2.58333 cups