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.
Explanation
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bi. Let the total amount shared = y
Kontor's age = 3/2×Gapson′sage
. Since Gapson is 20yrs old then Kontor's age = 3/2×20
= 30years.
sharing ratio = 30 : 20 = 3 : 2
total ratio = 2 + 3 = 5
Since Kontor received Le200,000
3/5×y
= 200,000
3y/5=200,000
cross multiplying, we have
3y = 5 x 200,000 = 1000,000
y = 1000,000/3
= 333,333.33
ஃ Total amount shared = Le333,333.33
ii. Gapson's share = Total - kontor's share
= - 200,000 = Le300,000.
bi. Let the total amount shared = y
Konror's age = 3/2×Gapson′s age
. Since Gapson is 20yrs old then Kontor's age = 3/2×20
= 30years.
sharing ratio = 30 : 20 = 3 : 2
total ratio = 2 + 3 = 5
Since Kontor received Le200,000
3/5×y
= 200,000
3y/5=200,000
cross multiplying, we have
3y = 5 x 200,000 = 1000,000
y = 1000,000/3
= 333,333.33
ஃ Total amount shared = Le333,333.33
ii. Gapson's share = Total - kontor's share
=333,333.33 - 200,000 = Le133,333.33.
