Question

A one pound brisket takes $50$ minutes to cook at ${{375}^{\circ }}F$ . how long would it take a $3\dfrac{1}{2}lb$ brisket to cook?

Answer 1

Hint: from the question given we have to find the time taken to cook the $3\dfrac{1}{2}lb$ brisket. From the question we got the information that the time taken to cook one pound brisket takes $50$ minutes. By ratio and proportion we can solve this question. For one pound brisket $50$ minutes. For $3\dfrac{1}{2}lb$ brisket the time taken is multiplication of $3\dfrac{1}{2}lb$ and $50$.

Complete step-by-step answer:
From the question given that one pound brisket takes $50$ minutes to cook that means,
$1lb$ brisket takes $50$ minutes to cook,
$\Rightarrow 1lb\xrightarrow{time\ taken}50$
We have to find the time taken to cook the $3\dfrac{1}{2}lb$ brisket that means
$\Rightarrow 3\dfrac{1}{2}lb\xrightarrow{time\ taken}?\left( x \right)$
Now by using ratio and proportions we have to calculate the time taken that is the value of x,
The value of x will be
$\Rightarrow x=3\dfrac{1}{2}lb\times 50$
Now convert the mixed fraction into the simple fraction
$\Rightarrow 3\dfrac{1}{2}=\dfrac{3\times 2+1}{2}=\dfrac{7}{2}$
now the calculation will be
$\Rightarrow x=\dfrac{7}{2}\times 50$
$\Rightarrow x=175$
Therefore, the time taken to cook the $3\dfrac{1}{2}lb$ is $175$minutes

Note: students should know the ratio and proportions concepts very clearly there should be no confusion. If students did division in place of multiplication of $3\dfrac{1}{2}lb$ and $50$. The whole answer will be wrong. Students should have to understand the question clearly.