Question

Five pounds of tea and 8 pounds of coffee cost $11.36, while 10 pounds of tea

and three pounds of coffee cost $10.76. What is the price of each per pound

Answer 1

Answer:

Coffee = Rs 120 per pound

Tea = Rs 90 per pound

Explanation:

Define x and y:

Let the cost of coffee be Rs x per pound

Let the cost of tea be Rs y per pound

Form the equations:

3x + 8y = Rs 1080 ------------ [ 1 ]

5x + 6y = Rs 1140 ------------ [ 2 ]

[ 1 ] x 5 : 15x + 40y = 5400 ------------ [ 3 ]

[ 2] x 3 : 15x + 18y = 3420 ------------ [ 4 ]

[3] - [4]:

22y = 1980

y = 90 ------------ sub into [ 1 ]

3x + 8(90) =1080

3x+ 720 = 1080

3x = 360

x = 120

Find the cost:

1 pound of coffee = x = Rs 120

1 pound of tea = y = Rs 90

Answer:

Coffee is at Rs 120 per pound and Tea Rs 90 per pound