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