A) 216 acres
B) 70 acres
C) 90 acres
D) None of these
Let the total piece of land that he has be x hectares,
According to question, x/3 hectare land is used for strawberries, x/4 hectare for chesses, 3x/8 hectare for vegetables and 9 hectares for oats,
total land area= x
Therefore,
x = x/3 + x/4 + 3x/8 + 9,
taking x common,
1 = 1/3 + 1/4 + 3/8 + 9/x,
1 – (1/3 + 1/4 + 3/8) = 9/x,
1 – ((8 + 6 + 9)/24) = 9/x,
1 – (23/24) = 9/x,
1/24 = 9/x or x = 216 hectares
Related MCQs:
- A fruit basket comprises of oranges, peaches, and strawberries. The ratio of oranges to peaches to strawberries is 2:3:4. If there are 8 oranges, how many total fruit items are there in the basket?
- Total number of students in a class is 95. if the total number of girls in the class is 45 then the ratio of the total number. If boys to total number girls is?
- When a student weighing 45 kg left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students?
- A man spends 35% of his income on food, 25% on children’s education and 80% of the remaining on house rent. What percent of his income he is left with?