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 cross-multiplication, 5x = 4y. Thus, x = 4y/5
y/z = 2/3 After cross-multiplication, 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
