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?
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:
Step-by-step explanation:
Givens
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.