Question

A food item contains flour and sugar. The ratio of flour and sugar is 7:5 and the total quantity of the food item is 48 kgs.

If the quantity of food item is doubled, find the amount of flour present in the overall food now.
$\left[2Marks\right]$

Answer 1

Let the amount of flour be 7x and sugar be 5x.

Total quantity of food = 48 kgs

Since the food item is doubled, the new quantity of food item = 2(48) = 96 kgs
$\left[1Mark\right]$

The ratio of flour and sugar does not change.

$\therefore 7x+5x=12x=96$

$\Rightarrow x=\frac{96}{12}=8$

$\therefore \text{Amount of flour present}=7x=7\times 8=56kg$
$\left[1Mark\right]$