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Josiah is cooking a piece of lamb. Before he puts it in the oven, the internal temperature of the lamb is 
41^(@)C below the final temperature it needs to reach. The outside of the lamb heats up faster than the inside. Josiah takes the lamb out of the oven when the internal temperature is still 
6^(@)C below the final temperature it needs to reach, so the inside and outside can balance out to the right final temperature.
Josiah wonders how much the internal temperature had changed when he removed the lamb from the oven.
Which of the following equations matches the situation above?
Choose 1 answer:
(A) 
41+6=?
(B) 
-41+?=-6
(C) 
41+?=6

Josiah is cooking a piece of lamb. Before he puts it in the oven, the internal temperature of the lamb is 41C41^\circ C below the final temperature it needs to reach. The outside of the lamb heats up faster than the inside. Josiah takes the lamb out of the oven when the internal temperature is still 6C6^\circ C below the final temperature it needs to reach, so the inside and outside can balance out to the right final temperature.\newlineJosiah wonders how much the internal temperature had changed when he removed the lamb from the oven.\newlineWhich of the following equations matches the situation above?\newlineChoose 11 answer:\newline(A) 41+6=?41+6=?\newline(B) 41+?=6-41+?=-6\newline(C) 41+?=641+?=6

Full solution

Q. Josiah is cooking a piece of lamb. Before he puts it in the oven, the internal temperature of the lamb is 41C41^\circ C below the final temperature it needs to reach. The outside of the lamb heats up faster than the inside. Josiah takes the lamb out of the oven when the internal temperature is still 6C6^\circ C below the final temperature it needs to reach, so the inside and outside can balance out to the right final temperature.\newlineJosiah wonders how much the internal temperature had changed when he removed the lamb from the oven.\newlineWhich of the following equations matches the situation above?\newlineChoose 11 answer:\newline(A) 41+6=?41+6=?\newline(B) 41+?=6-41+?=-6\newline(C) 41+?=641+?=6
  1. Understand the Situation: Understand the situation and what is being asked.\newlineJosiah's lamb is initially 41C41^\circ\text{C} below the final desired temperature. When he removes it from the oven, it is 6C6^\circ\text{C} below the final desired temperature. We need to find out how much the internal temperature changed from the initial state to the state when it was removed from the oven.
  2. Set up Equation: Set up the equation that represents the change in temperature. The change in temperature is the difference between the initial temperature deficit and the temperature deficit when the lamb was removed from the oven. This can be represented by the equation: Initial temperature deficit - Final temperature deficit = Change in temperature 41(6)=-41 - (-6) = Change in temperature
  3. Calculate Change: Calculate the change in temperature.\newlineTo find the change in temperature, we subtract the final temperature deficit from the initial temperature deficit:\newline41(6)=41+6=35-41 - (-6) = -41 + 6 = -35\newlineThis means the internal temperature of the lamb increased by 35C35^\circ\text{C} when Josiah removed it from the oven.

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