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 he use to make 50 pounds worth 74 cents a pound?

Imagine what x is tea groccer selling for 80 cents per pound

y is tea groccer selling for 60 cents per pound

{80x+60y=50*74=3700

{x+y=50 / / * 60

{80x+60y=3700

-

{60x+60y=3000

20x=700

x=35

y=50-35=15

Answer

There is need to use 35 pounds of 80 cents tea and 15 pounds of the 60 cents tea.