Question

A butcher has 10 3/4 pounds of ground beef that will be priced at 3.40 dollars per pound. He divides the meat into 8 equal packages. To the nearest cent, what will be the price of each package? Explain how you know your answer is reasonable.

Answer 1

Well we know that 10 and 3/4 is equivalent to 10.75.  If we divide the meat into 8 equal packages we have to divide 10.75 by 8.  Dividing 10.75 by 8 gives us 1.34375 pounds of meat per package.  If we take that, and multiply it by our given value of $3.40 per pound, we end up getting $4.57 a package.

Answer 2

Answer: The price of each package will be $4.57 or 4 dollars and 57 cents

Explanation:

Given

Total butcher has total ground beef of mass ,
`m=10(3)/(4)pounds=10.75pounds`

Price of beef , P = 3.40 dollars per pound

Thus the price of 10.75 pounds of beef ,

`P_t=m* P=\$ 10.75* 3.40=\$ 36.55`

Now the whole amount of beef is divided into 8 equal packets

Therefore price of each packet is given by

`P_1=(P_t)/(8)=\$ (36.55)/(8)`

=>
`P_1=\$ 4.57`

Thus the price of each package will be $4.57 or 4 dollars and 57 cents