Question

A bag of 100 kg of tea made up of leaf and dust tea is bought for ?17,250. If leaf tea costs ?210 per kg and dust tea costs ?85 per kg, find the quantity of leaf and dust tea in the bag.

Answer 1

Hi,

Total quantity of tea powder = 100kg ---( 1 )

Total cost of the powder = Rs 17250 ---( 2 )

Let quatntity of leaf powder = x kg

Quantity of dust tea powder = ( 100 - x ) kg

Cost of leaf tea powder per kg = Rs 210

Cost of dust tea powder per kg = Rs 85

According to the problem given ,

210x + 85( 100 - x ) = 17250 [ from ( 2 ) ]

210x + 8500 - 85x = 17250

125x = 17250 - 8500

125x = 8750

x = 8750/125

x = 70

Therefore ,

Quantity of leaf tea powder = x = 70kg

Quantity of dust tea powder = ( 100 - x ) kg

= ( 100 - 70) kg

= 30 Kg

I hope this helps you.

:)