Question

5 cats each ate 1/4 cup of cat food. Four other cats each ate 1/3 cup of cat food. How much did the nine cats eat?

Answer 1

Number of cups consumed by five cats

`=5* (1)/(4)`

`= (5)/(4)` cups.

Number of cups consumed by four cats

`=4* (1)/(3)`

`= (4)/(3)` cups.

Number of cups consumed by all nine cats

`=(5)/(4) + (4)/(3)`

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

`= (5* 3+4*4)/(12)`

`= (15+16)/(12)`

`= (31)/(12)`

`=2 (7)/(12)` cups

Answer 2

Food ate by 9 cats = 2.58333 cups

Step-by-step 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

`=(5)/(4) +(4)/(3) \\ \\ =(3*5)/(3*4) +(4*4)/(4*3)\\ \\ =(15)/(12) +(16)/(12)\\ \\= (15+16)/(12)\\ \\ =(31)/(12)=2.5833` cups.

So food ate by 9 cats = 2.58333 cups