Question

A bread and a pie are made using $\frac{1}{4}$ and $\frac{2}{3}$ of a pack of flour. If the total weight of the flour used is 1250 g, find the amount of flour wasted.

(Round off to 1 decimal place)

• A. 113.6 g
• B. 143.6 g
• C. 163.6 g
• D. 183.6 g

Answer 1

The correct option is A 113.6 g

Let the total weight of the flour be x g.

Flour used in bread = $\frac{1}{4}$ of x
Flour used in pie = $\frac{2}{3}$ of x

We know,
Total flour used = Weight of flour used for bread + Weight of flour used in pie

1250 = $\frac{1}{4}$x + $\frac{2}{3}$x

$⟹$ 1250 = $\frac{3+8}{12}$x

$⟹$ 1250 = $\frac{11}{12}$x

​​​​​​​$⟹$ x = 1363.636

​​​​​​​$⟹$ x = 1363.6 g (Rounding off to one decimal place)

Flour wasted = Total flour - Flour used
= 1363.6 - 1250
= 113.6 g