# The chef has 25 pounds of strip loin. The trim loss on the strip loin is 35% and the cooking loss is 80% of the trimmed weight. How many pounds of trimmed, cooked strip loin will the chef have left to serve to his customers?

Jun 28, 2017

3.25 pounds

#### Explanation:

Let's break this word problem up into steps.

1. The chef lost 35% after trimming.

If you lose 35% of something, then there will be 65% remaining.

100% - 35% = 65%

Another way to say 65% is $\frac{65}{100}$, or $.65$.

Therefore, the amount of meat left after trimming is

$25 \times .65 = 16.25$ pounds

2. The chef lost 80% after cooking.

If you lose 80% of something, then there will be 20% remaining.

100% - 80% = 20%

The amount of meat left after cooking is

$16.25 \times .20 = 3.25$ pounds

After trimming and cooking, the chef will have 3.25 pounds of cooked strip loin left.

Hope this helps!