word problem

Question

How many pounds of chamomile tea that costs $18.20 per pound must be mixed with 18 lb of orange tea that costs $12.22 per pound to make a mixture that costs $14.06 per pound?

Answer 1

Let x = the number of pounds of chamomile tea

 

18.20x + 12.22(18) = 14.06(18 + x)

 

The above equation multiplies the cost of each kind of tea by the number of pounds there are.

 

18.20x + 219.96 = 253.08 + 14.06x

 

4.14x = 33.12

 

x=8

 

8 pounds of chamomile tea