Question

The following ingredients are required to make halwa for 5 persons;
$\text{Suji/Rawa}=250g$, $\text{Sugar}=300g$, $\text{Ghee}=200g$, $\text{Water}=500mL$. Using the concept of proportion, estimate the change in quantity of the ingredients to prepare halwa for your class.

Answer 1

Hint: We have given the quantity of suji, sugar, ghee and water for 5 persons so divide these quantities by 5 to make the quantity of these ingredients for 1 person. Now, let us assume that the strength of the class is 100 so multiply all the quantities of the ingredients of 1 person by 100 to get the quantity of ingredients for 100 persons.

Complete step-by-step answer:
The quantity of ingredients for 5 persons is given as:
$\text{Suji/Rawa}=250g$, $\text{Sugar}=300g$, $\text{Ghee}=200g$, $\text{Water}=500mL$
Using the concept of proportion, the quantity of ingredients for 1 person is found by dividing these quantities by 5 which we are demonstrating below:
$\text{Suji/Rawa}=\dfrac{250}{5}=50g$
$\text{Sugar}=\dfrac{300}{5}=60g$
$\text{Ghee}=\dfrac{200}{5}g=40g$
$\text{Water}=\dfrac{500}{5}mL=100mL$
Now, we have got the quantity of ingredients for 1 person.
Let us assume that the strength of the class is 100 persons so to get the quantities of ingredients for 100 persons we are going to multiply the above ingredients by 100.
$\text{Suji/Rawa}=\left( 50\times 100 \right)g=5000g$
$\text{Sugar}=\left( 60\times 100 \right)g=6000g$
$\text{Ghee}=\left( 40\times 100 \right)g=4000g$
$\text{Water}=\left( 100\times 100 \right)mL=10000mL$
Hence, from the above we have got the change in quantity of ingredients of halwa for 100 persons.

Note: In the above solution we have got the quantities in grams (g) and milliliters (mL). We can convert them to kilograms (kg) and litres (l) as follows:
We know that:
$\begin{align}
  & 1kg=1000g \\
 & 1L=1000mL \\
\end{align}$
Using the above relations we can convert the quantities of ingredients that we have got in the above solution.
$\text{Suji/Rawa}=5kg$
$\text{Sugar}=6kg$
$\text{Ghee}=4kg$
$\text{Water}=10L$
You can also represent the quantities of ingredients required to make halwa in kg and L as we have shown above.