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








May 21, 18 09:24 AM
Explore exponential and logarithmic functions with these easy to follow math lessons
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
May 21, 18 09:24 AM
Explore exponential and logarithmic functions with these easy to follow math lessons
Our Top Pages
Formula for percentage
Compatible numbers
Basic math test
Basic math formulas
Types of angles
Math problem solver
Algebra word problems
Surface area of a cube
Finding the average
Scale drawings
Everything you need to prepare for an important exam!
K12 tests, GED math test, basic math tests, geometry tests, algebra tests.
Real Life Math Skills
Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.