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

5.85 pounds of cooked strip lion.

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}=(65)/(100)* 36`

`\text{The weight of meat left after trimming}=0.65* 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}=(25)/(100)* 23.4`

`\text{The weight of meat left after cooking}=0.25* 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

The remaining weight of strip loin steak is 5.85 pounds.

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* (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* (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.