Question

The chef has 3636 pounds of strip loin steak. The amount of weight lost from the trim on each pound is 35\%35%, and 75\%75% more of the steak's weight is lost after cooking it. How many pounds of trimmed, cooked strip loin will the chef have left to serve to the customers?

Answer 1

Answer:

5.85 pounds of cooked strip lion.

Step-by-step explanation:

We have been given that the chef has 36 pounds of strip loin steak. The amount of weight lost from the trim on each pound is 35%.

So the weight of strip lion steak after trimming will be 65% of 36 as 100%-35%=65%.

$\text{The weight of meat left after trimming}=\frac{65}{100}\times 36$

$\text{The weight of meat left after trimming}=0.65\times 36$

$\text{The weight of meat left after trimming}=23.4$

Therefore, 23.4 pounds of meat left after trimming.

We are also told that 75% more of the steak's weight is lost after cooking it. This means that weight of meat lest after cooking will be 25% of 23.4 as 100%-75%=25%.

$\text{The weight of meat left after cooking}=\frac{25}{100}\times 23.4$

$\text{The weight of meat left after cooking}=0.25\times 23.4$

$\text{The weight of meat left after cooking}=5.85$  

Therefore, the chef have 5.85 pounds of cooked strip loin left to serve to the customers.

Answer 2

Answer:

The remaining weight of strip loin steak is 5.85 pounds.

Step-by-step explanation:

It is given that the chef has 36 pounds of strip loin steak. The amount of weight lost from the trim on each pound is 35%, and 75% more of the steak's weight is lost after cooking it.

The weight lost from the trim on each pound is 35%. So, 35% of 36 is

$36\times \frac{35}{100}=12.6$

The remaining weight after trim is

$36-12.6=23.4$

The 75% more of the steak's weight is lost after cooking it. So, 75% of remaining weight is

$23.4\times \frac{75}{100}=17.55$

The remaining weight after cooking is

$23.4-17.55=5.85$

The remaining weight of strip loin steak is 5.85 pounds.