John and Alex share a farm. John’s share of the farm is 1.5 times that of Alex’s. They each grow wheat and rice on their farms. Of the total area of the farm (adding Alex and John’s share), seven tenths are covered in rice. The ratio of rice to wheat in John’s share is 4:1. What is the ratio of rice to wheat on Alex’s land?
Answers
Given : John and Alex share a farm. John’s share of the farm is 1.5 times that of Alex’s. They each grow wheat and rice on their farms. Of the total area of the farm (adding Alex and John’s share), seven tenths are covered in rice. The ratio of rice to wheat in John’s share is 4:1.
To find : What is the ratio of rice to wheat on Alex’s land
Solution:
Let say Alex farm = 4A
then John farm = 1.5 * 4A = 6 A
Total Area of farm = 4A + 6A = 10 A
Rice = (7/10)10A = 7A
Wheat = 10A - 7A = 3A
Ratio of rice to wheat in John’s share is 4:1
=> Rice = (4/5) * 6A = 24/5 A
Wheat = 6/5 A
Remaining Rice on Alex land = 7A - 24A/5 = 11A/5
Remaining wheat on Alex land = 3A - 6A/5 = 4A/5
ratio of rice to wheat on Alex’s land =11A/5 : 4A/5
= 11 : 4
11: 4 is the ratio of rice to wheat on Alex’s land
Learn more:
divide 40 into ratio of 5:2 - Brainly.in
https://brainly.in/question/7339521
The ratio of the number of students in three classes A,B and C is 3:7 ...
https://brainly.in/question/7571333