m:n = \(2\frac{1}{3} : 1\frac{1}{5}\) and n : q = \(1\frac{1}{2} : 1\frac{1}{3}\), find q : m.

a. A car travels a distance of 112 km at an average speed of 70 km/h. it then travels a further 60 km at an average speed of 50 km/h. Calculate, for the entire journey, the total time taken.

b. if  \(\frac{x}{y}\) = 2  and  \(\frac{y}{z}\) = 3, find the value of  \(\frac{ x + y}{y + z }\)

a. M = {n: 2n - 3 ≤ 37} Where n is a counting number. i). write down all the elements in M.
ii.  If a number is selected at random from M what is the probability that it is a:
(α) multiple of 3;
(β) factor of 10.

b. A shop owner gave an end-of-year bonus to two of his attendees, Kontor and Gapson in the ratio of their ages. Gapson's age is one and a half times that of Kontor who is 20 years old. if Kontor received Le 200,000.00, find: i). Find the total amount shared.

ii.  Find Gapson's share.

The ratio of men to women in a 20-member committee is 3:1. How many women must be added to the committee to make the ratio of men to women 3:2?