Tea question

Question

A merchant has tea worth $7.25 a pound that she wishes to mix with 6 pounds of tea worth $9.45 a pound to get a mixture worth $8.50 a pound. How many pounds of the cheaper tea should be used?

Answer 1

Let x = # pounds of the cheaper tea

 

9.45(6) + 7.25(x) = 8.50(6+x)

 

56.7 + 7.25(x) = 51 + 8.5(x)

 

5.7 = 1.25(x)

 

x = 4.56 pounds