Question

(a) In a number line, there are eight points.They are lying on number line such that US = SR = RT and AP = PQ = QB. Find the rational numbers represented by P, Q, R, S.

(b) Ashley recently opened a store that sells only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighbourhood. It takes one person 2 minutes to prepare one bag.

How many hours will it take to prepare 900 bags of samples if Ashley and 5 of her friends do the work?

[4 MARKS]

Answer 1

Each part: 2 Marks

(a) As given in the question AP = PQ = QB = $\frac{1}{3}$, because interval of one between AB is divided by into three equal parts.
Similarly, US = SR = RT = $\frac{1}{3}$, since the interval of one between U and T is divided into three equal parts.

So, value of P $=2+\frac{1}{3}=\frac{7}{3}$;

Q $=\frac{7}{3}+\frac{1}{3}=\frac{8}{3}$

Similarly for R $=-1-\frac{1}{3}=-\frac{4}{3}$;

S $=-\frac{4}{3}-\frac{1}{3}=-\frac{5}{3}$

(b) Time taken by 1 person to prepare 1 bag = 2 minutes

Time taken by 6 people to prepare 1 bag = $\frac{2}{6}$minutes

Time taken by 6 people (Ashley and her 5 friends) to prepare 900 bags

= $\frac{2}{6}\times 900=300minutes=5hrs$