(a) Let's denote the original number of members in the group as x. According to the problem, each member was supposed to contribute equally to the total price of the land, which is Shs 180,000. Therefore, the original contribution per person would be 180,000/x.

However, 3 members withdrew from the group, so the number of contributors became x-3. As a result, each of the remaining members had to contribute Shs 3000 more than originally planned, so the new contribution per person became 180,000/(x-3).

According to the problem, the new contribution per person is Shs 3000 more than the original contribution per person, so we can write the equation:

180,000/(x-3) = 180,000/x + 3000.

To solve this equation for x, we first multiply all terms by x(x-3) to get rid of the fractions:

180,000x = 180,000(x-3) + 3000x(x-3).

Solving this equation gives x = 20.

So, the original number of members in the group was 20.

(b) If the 3 people had not withdrawn, each person would have contributed 180,000/20 = Shs 9000.

(c) The percentage increase in the contribution per person caused by the withdrawal is calculated as follows:

(3000/9000)*100% = 33.33%.

So, the withdrawal of the 3 members caused a 33.33% increase in the contribution per person.

Question

(a) Let's denote the original number of members in the group as x. According to the problem, each member was supposed to contribute equally to the total price of the land, which is Shs 180,000. Therefore, the original contribution per person would be 180,000/x.

However, 3 members withdrew from the group, so the number of contributors became x-3. As a result, each of the remaining members had to contribute Shs 3000 more than originally planned, so the new contribution per person became 180,000/(x-3).

According to the problem, the new contribution per person is Shs 3000 more than the original contribution per person, so we can write the equation:

180,000/(x-3) = 180,000/x + 3000.

To solve this equation for x, we first multiply all terms by x(x-3) to get rid of the fractions:

180,000x = 180,000(x-3) + 3000x(x-3).

Solving this equation gives x = 20.

So, the original number of members in the group was 20.

(b) If the 3 people had not withdrawn, each person would have contributed 180,000/20 = Shs 9000.

(c) The percentage increase in the contribution per person caused by the withdrawal is calculated as follows:

(3000/9000)*100% = 33.33%.

So, the withdrawal of the 3 members caused a 33.33% increase in the contribution per person.

Knowee AI · Accepted Answer