Question

A grocer has two kinds of tea: one selling for 80 cents a pound and the other selling for 60 cents a pound. How many pounds of each kind must be used to make 50 pounds worth 74 cents a pound?

Answer 1

35 pounds of tea for 80 cents.

15 pounds of tea for 60 cents.

Explanation:

x · 80 + y · 60 = 50 · 74

x + y = 50 · (- 60)

80x + 60y= 50 · 74

- 60x - 60y = -50 · 60

20x = 50 · (74-60) = 50 · 14

x = 50 · 14/20

35 pounds of tea for 80 cents.

y = 50 - 35 =

15 pounds of tea for 60 cents.

Answer 2

35 pounds of tea for 80 cents.

Explanation:

Equation::

value + value = value

80x + 60(50-x) = 74*50

80x + 60*50 - 60x = 74*50

20x = 14*50

x = 35 lbs (amt. of 80 cent tea to use)

50-x = 15 lbs (amt. of 60 cent tean to use)