Kittens

Sometimes Grace has kittens. Each kitten has 1/3 as much cat food as a full-grown cat. How many kittens can Grace feed with the 1.47 pounds? Solve on paper. Then check your work. One full-grown cat needs 0.25 pounds of food.

Correct answer:

k =  4

Step-by-step explanation:

$$\begin{gathered} c=0.25\text{lb} \\ {c}_1=1\frac{1}{3}=1+\frac{1}{3}=\frac{1\cdot 3+1}{3}=\frac{3+1}{3}=\frac{4}{3}=1\frac{1}{3}\doteq 1.3333 \\ x\cdot c_1\cdot c=1.47 \\ x\cdot 1.3333333333333\cdot 0.25=1.47 \\ 0.333333x=1.47 \\ x=\frac{1.47}{0.33333333}=4.41 \\ x=\frac{441}{100}\doteq 4.41 \\ k=\lfloor x\rfloor =\lfloor 4.41\rfloor =4 \end{gathered}$$

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