Question

Divide 20 pens between Sheela and Sangeeta in a ratio of 3: 2.
[2 marks]

Answer 1

Given,
Number of pens = 20
According to the question, 20 pens need to be divided into a ratio of 3: 2.
$\therefore$ Number of pens of Sheela: number of pens of Sangeeta $=\frac{3}{2}$
[1 mark]

Adding +1 on both sides, we get,

(Number of Sheelaf sheela + number of pens of Sangeeta): (number of pens of Sangeeta) $=\frac{5}{2}$
or, Total number of pens : number of pens of Sangeeta $=\frac{5}{2}$
Thus, 20 : number of pens of Sangeeta$=\frac{5}{2}$
or, Number of pens of Sangeeta $=\frac{2}{5}\times 20=8$
Similarly, number of Sheelaf sheela $=20-8=12$

Thus, Sheela got 12 pens while Sangeeta got 8 pens.
[1 mark]