A man has 2 orchards in which he grows apples and pears. Apple trees comprise 65% of trees in the first orchard and 45% of trees in the second orchard. Apple trees make up 53% of all trees in both orchards combined. What percentage of all trees combined
Answers
Answer:
Step-by-step explanation:
Given : A man has 2 orchards in which he grows apples and pears. Apple trees comprise 65% of trees in the first orchard and 45% of trees in the second orchard. Apple trees make up 53% of all trees in both orchards combined.
To Find : percentage of all trees combined in orchard 1 and orchard 2
Solution:
Assume that Total tress in orchard are 100 A and 100B
Apple trees in 1st orchard = (65/100)100A = 65A
Apple trees in 2nd orchard = (45/100)100A =45B
Total Trees combined in both orchards = 65A + 45B
Apple trees make up 53% of all trees in both orchards combined.
= (53/100) (100A + 100B)
= 53A + 53B
65A + 45B = 53A + 53B
=> 12A = 8B
=> 3A = 2B
=> B = 1.5A
Total tress in orchard are 100 A and 100(1.5A) = 150A
Total Trees = 100A + 150A = 250A
% of trees in orchards 1 = (100A/250A) * 100 = 40 %
% of trees in orchards 2 = (150A/250A) * 100 = 60 %
Learn More:
in a furniture shop 24 were bought at the rate of rupees per table the ...
brainly.in/question/7645308
What is the percentage of gold present in 'Hallmark' gold? (Answer ...
brainly.in/question/4634338