A caterer prepared a large ham that weighed 15 1/8 pounds . After cooking , the chef trimmed the ham and removed the bone , so the ham was 1 3/5 pound lighter . How many complete 5/16-pound serving can she provide from this ham?

Verified Answer :

do 15 1/8-1 3/5 so that is 13 21/40, then 13 21/40 divided by 5/16, so the answer is  48, because it is COMPLETE servings

Answer:

43

Step-by-step explanation:

Givens

  • Initially, the ham weighed \(15 \frac{1}{8}lb\), which is equivalent to\(\frac{121}{8}lb\).
  • After cooking and without bone, the ham weighed \(1\frac{3}{5} lb\) less, which is equivalent to \(\frac{8}{5} lb\).

To know the total amount of ham we have to serve, we need to subtract

\(\frac{121}{8}- \frac{8}{5}=\frac{605-64}{40}=\frac{541}{40}\)

So, there is 541/40 pounds to serve.

If each serving has 5/16 pounds of the ham, then we need to divide this with the total pounds available, and that would give the total number of servings

\(\frac{541}{40} \div \frac{5}{16}=\frac{541}{40} \times \frac{16}{5}= \frac{8656}{200} \approx 43.28\)

So, there are 43.28 possible serving. However, we need to round this to the integer because we cannot serve a uncomplete plate.

Therefore, she can provide 43 complete servings with 5/16 pounds of ham.