Question

6(i). {n:2n-3≤37}, where n is a counting number. (a) Write down all the elements of M. (b) 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.
6(ii). A shop owner gave an end-of-year bonus to two attendants, Kontor and Gapson, in the ratio of their ages. Kontor's age is one and half times that of Gapson who is 20 years old. If Kontor received Le 200,000.00, find: (i) the total amount shared; (ii) Gapson's share.

Accepted Answer

(i)(a) 2n-3≤37 → 2n≤40 → n≤20. Since n is a counting number, M={1,2,3,4,...,20}.
(b)(α) Multiples of 3 in M={3,6,9,12,15,18} → 6 elements. P(multiple of 3)=6/20=3/10.
(β) Factors of 10 in M={1,2,5,10} → 4 elements. P(factor of 10)=4/20=1/5.

(ii) Kontor:Gapson=3:2 (since Kontor is 1.5× Gapson's age). Kontor's share=(3/5)×total=200,000 → total=200,000×5/3=Le 333,333.33.
(ii) Gapson's share=(2/5)×333,333.33=Le 133,333.33.

WAEC Mathematics 2023 Theory — Question 6

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