Problema Solution

The manager of a store selling tea plans to mix a more expensive tea that costs $5 per pound with a less expensive tea that costs $2 per pound to create a 100-pound blend that will sell for $4.70 per pound. How many pounds of each type of tea are required?

Answer provided by our tutors

Let amount of more expensive tea=x pounds. So, amount of less expensive tea=100-x

Therefore,

5x+(100-x)2=100*4.70

5x+200-2x=470

3x=270

x=90.

Required amount of more expensive tea=90 pounds and Required amount of less expensive tea=10 pounds