by aparna
(chennai)
a man bought 66 kgs of 3 types of fruits namely banana, oranges and apple. The ratio of banana to oranges is 4:5 and that of oranges to apples is 2:3 Find out how many kgs of apples were bought
Let x be number of Banana
Let y be number of orange
let z be number of apple
x + y + z = 66
x/y = 4/5
After crossmultiplication, 5x = 4y.
Thus, x = 4y/5
y/z = 2/3
After crossmultiplication, 2z = 3y.
Thus, z = 3y/2
Replace x and z into x + y + z = 66
4y/5 + y + 3y/2 = 66
(8y + 10y + 15y)/10 = 66
33y/10 = 66
33y = 660, so y = 20
There are 20 kg of oranges
Since z = 3y/2, z = (3 * 20)/2 = 60/2 = 30
There are 30 kg of apples
Comments for ratio & proportions








Jul 25, 17 09:06 PM
Learn to solve comparison word problems using modeling
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Jul 25, 17 09:06 PM
Learn to solve comparison word problems using modeling