algebra word problem

Question

a blend of tea cost 12 per pound. it is made by combining herbs that cost 10.70 per pound with black tea that costs 23.70 per pound. to make a batch of this blended tea how many pounds of black tea should be added to 590 pounds of herbs

Answer 1

Hi Allen.

 

Let's see what we know.

 

H = # pounds Herbs = 590 @ $10.70 per pound

B = # pounds black tea @ $23.70 per pound

The blended tea @ $12 per pound

 

Our equation would be

590(10.7) + B(23.7) = (590+B)(12)

      ^              ^                   ^

# pounds    # pound     total # pounds

herbs @      black tea    @ $12 per pound

$10.70        @ $23.70

per pound   per pound

 

 

6313 + 23.7B = 7080 + 12B

11.7B = 767

B = 65.55 pounds

We need 65.55 pounds of black tea.