The kingdom Parawara has two provinces: Northville and Southton. Each province c

Question

The kingdom Parawara has two provinces: Northville and Southton. Each province consists of two groups of residents, nobles and peasants. A recent study on the two provinces shows that in each province the cancer rate among the nobles is higher than that among the peasants, with the detailed findings summarized by the information below: Northville Southton Cancer Rate Cancer Rate Nobles 50% 30% Peasants 30% 20% Parawara, however, does not reveal the information about the populations of the two provinces. We only know that in each province, 25% are nobles and 75% are peasants. Based on the above information, can we conclude that in Parawara the nobles have a higher cancer rate than the peasants? Explain.

Explanation / Answer

No, the peasants have higher cancer rate, because the 30% and 20% of 75% peasants is higher than the 50%and 30% of 25% nobles in Parawara.

Let's suppose that there are total 200 people in Parawara 100 in each province

Therefore the number of nobles and peasants are 25 and 75 in each province respectively.

The total number of nobles have cancer in both province

=> 50%of 25 + 30%of 25.

(50/100 × 25)+(30/100 ×25)

(12.5)+(7.5)

20

Now, total number of peasants have cancer in both province:

=> 30%of 75 + 20%of 75

(30/100 × 75)+(20/100 ×75)

(22.5)+(15)

37.5

Ratio of cancer between nobles and peasants= 20:37.5

Therefore, we can say that the rate of having cancer is higher in peasants as compared to nobles.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.