Question

A wholesaler sells 1 kg of green tea leaves for $8 and 600 g of assam black tea leaves for $7.20. A tea merchant wants to mix these two types of tea leaves to form 100 kg of classic blend. Determine the amount of each type of tea leaves he should order from the wholesaler such that his cost price is $10/kg.

Answer 1

50 kg of green tea leaves and 50 kg of assam black tea leaves.

Explanation:

Let x kg be the amount of green tea and y kg be the amount of Assam tea.

x+y=100 (1) [mass]

price for 1 kg of assam tea= 7.20/600×1000g

= $12/kg

total cost= 100×10

= $1000

8x+12y= 1000 (2) [cost]

(1)×8: 8x+8y= 800 (3)

(2)-(3): (8x+12y)-(8x+8y)= 1000-800

4y= 200

y= 50 (4)

sub (4) into (1):

x+50= 100

x= 50