Seven people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:Question 19Answera.1/6b.1/8c.1/7d.1/5
Question
Seven people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:Question 19Answera.1/6b.1/8c.1/7d.1/5
Solution
Initially, the cost of the rental car was to be shared equally among 7 people. So, each person would pay 1/7 of the total cost.
However, one person withdrew from the arrangement, leaving 6 people to share the cost. Now, each person would pay 1/6 of the total cost.
To find out by how much the share of each person increased, we subtract the initial fraction (1/7) from the final fraction (1/6).
So, 1/6 - 1/7 = 7/42 - 6/42 = 1/42.
However, this is the increase in terms of the total cost. To express this increase as a fraction of what each person was initially paying (1/7), we divide 1/42 by 1/7.
So, 1/42 ÷ 1/7 = 1/6.
Therefore, the share of each of the remaining persons increased by 1/6. So, the answer is a. 1/6.
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