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. How many pounds of trimmed, cooked strip loin will the chef have left to serve to the customers? $\newline$ Choose $1$ answer: $\newline$ (A) $5$ . $85$ $\newline$ (B) $12.6$ $\newline$ (C) $17.55$ $\newline$ (D) $23$ . $4$

Full solution

Q. 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. How many pounds of trimmed, cooked strip loin will the chef have left to serve to the customers?

\newline

Choose

1

answer:

\newline

(A)

5

85

\newline

(B)

12.6

\newline

(C)

17.55

\newline

(D)

23

4

Calculate weight lost: Calculate the weight lost from trimming. $\newline$ The chef starts with $36$ pounds of steak, and $35\%$ of the weight is lost from trimming. $\newline$ Weight lost from trimming = $35\%$ of $36$ pounds = $0.35 \times 36 = 12.6$ pounds
Calculate weight after trimming: Calculate the weight of the steak after trimming. $\newline$ Weight after trimming = Original weight - Weight lost from trimming $\newline$ Weight after trimming = $36$ pounds - $12.6$ pounds $= 23.4$ pounds
Calculate weight lost from cooking: Calculate the additional weight lost after cooking. $\newline$ $75$ % more of the steak's weight is lost after cooking it. Since ＂ $75$ % more＂ is ambiguous, we interpret it as $75$ % of the weight after trimming is lost during cooking. $\newline$ Weight lost from cooking = $75$ % of $23.4$ pounds = $0.75 \times 23.4 = 17.55$ pounds
Calculate final weight: Calculate the final weight of the steak after cooking. $\newline$ Weight after cooking = Weight after trimming - Weight lost from cooking $\newline$ Weight after cooking = $23.4$ pounds - $17.55 = 5.85$ pounds