Answer :

Karl bought 18.17 pounds of pork, in decimals.

In the question, we are given that at a butcher shop, Karl bought 4 2/25 lbs. of beef and some pork. He left with 22 1/4 lbs. of meat.

We are asked to express the number of pounds of pork he bought using a decimal.​

We assume the number of pounds of pork Karl bought to be x.

The number of pounds of beef Karl bought is given to be 4 2/25.

Converting this fraction into a decimal, we get 4 2/25 = 4.08.

Thus, the total number of pounds of meet Karl bought can be shown as the sum of the number of pounds of pork Karl bought and the number of pounds of beef Karl bought, that is,

The total number of pounds of meat Karl bought = x + 4.08.

But, we are given that Karl left with 22 1/4 pounds of meat, that is, Karl bought 22 1/4 pounds of meat.

Converting this fraction into a decimal, we get 22 1/4 = 22.25.

Thus, the total number of pounds of meat Karl bought = 22.25.

Thus, we get an equation: x + 4.08 = 22.25.

This can be solved by subtracting 4.08 from both sides to get:

x + 4.08 = 22.25,

or, x + 4.08 - 4.08 = 22.25 - 4.08,

or, x = 18.17.

Thus, Karl bought 18.17 pounds of pork, in decimals.

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