Question

A bag of 100kg of tea made up of leaf and dust tea is bought for Rs.17250. If leaf Tea costs Rs. 210 per kg and dust tea costs Rs.85 per kg, find the quantity of leaf and dust tea in the bag.

Answer 1

Let the weight of leaves be x
Let the weight of dust be y
According To Question
x+y=100
x=100-y ........(1)
210x+85y=17250
From equation 1
210(100-y)+85y=17250
21000-210y+85y=17250
21000-125y=17250
-125y=17250-21000
-125y= -3750
125y=3750
y=3750/125
y=30
since x+y=100
=》x+30=100
=》×=100-30
=》×=70
Leaf =70 kg
Dust=30kg