What is the combined weight of all the kittens? Weight of kittens: 1/4 pound: 2 kittens. 3/8 pound: 3 kittens. 1/2 pound: 3 kittens. 5/8 pound: 3 kittens

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Answer:

The combined weight of all the kittens is 5 pounds.

Step-by-step explanation:

The distribution of kittens according to their weights is as follows:

Weight (W)       No. of Kittens (f)

  [tex]\frac{1}{4}[/tex] pounds                  2

  [tex]\frac{3}{8}[/tex] pounds                  3

  [tex]\frac{1}{2}[/tex] pounds                  3

  [tex]\frac{5}{8}[/tex] pounds                  3

Compute the combined weight of all kittens as follows:

Total weight = ∑ (W × f)

                     [tex]=(\frac{1}{4}\times 2)+(\frac{3}{8}\times 3)+(\frac{1}{2}\times 3)+(\frac{5}{8}\times 3)[/tex]

                     [tex]=\frac{1}{2}+\frac{9}{8}+\frac{3}{2}+\frac{15}{8}[/tex]

                     [tex]=\frac{4+9+12+15}{8}[/tex]

                     [tex]=\frac{40}{8}[/tex]

                     [tex]=5[/tex]

Thus, the combined weight of all the kittens is 5 pounds.

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