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?

Respuesta :

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 [tex]15 \frac{1}{8}lb[/tex], which is equivalent to[tex]\frac{121}{8}lb[/tex].
  • After cooking and without bone, the ham weighed [tex]1\frac{3}{5} lb[/tex] less, which is equivalent to [tex]\frac{8}{5} lb[/tex].

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

[tex]\frac{121}{8}- \frac{8}{5}=\frac{605-64}{40}=\frac{541}{40}[/tex]

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

[tex]\frac{541}{40} \div \frac{5}{16}=\frac{541}{40} \times \frac{16}{5}= \frac{8656}{200} \approx 43.28[/tex]

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.