Question

A chef has a five and five eighths pound beef filet. She slices the filet into 8-ounce steaks (fraction). How many pounds is each steak? How many 8-ounce steaks can the chef create from the filet?(16oz=1pound)

Answer 1

A chef has a five and five-eighths pound beef filet.

She slices the filet into 8-ounce steaks.

How many pounds is each steak?

We simply need to convert 8-ounce into pounds.

Since 16 oz = 1 pound then

8/16 = 1/2 pounds

Therefore, each steak is 1/2 pounds.

How many 8-ounce steaks can the chef create from the filet?

First, we have to convert five and five-eighths pounds into ounces

`5(5)/(8)=((5\cdot8)+5)/(8)=(40+5)/(8)=(45)/(8)`

Since 1 pound = 16 oz then

`(45)/(8)*16=45*2=90`

So there are 90 oz in five and five-eighths pounds.

Finally, we can divide the 90 oz by 8-ounces to get the number of steaks.

`(90)/(8)=(45)/(4)=11(1)/(4)`

Which means that she can make 11 steaks of 8-ounces.

The leftover meat is 1/4