uch of each type should be mixed in order to have 50 pounds of coffee that is worth ​$9.50 per​ pound?

Question

 The gourmet coffee usually sells for $10.00 per pound. The cheaper brand sells for $8.00 per pound. How much of each type should be mixed in order to have 50 pounds of coffee that is worth $9.50 per pound?

Answer 1

g + c = 50 -----> g = 50 - c

10g + 8c = 9.5(50)

 

10(50 - c) + 8c = 9.5(50)

500 - 10c + 8c = 475

2c = 25

c = 12.5

 

g = 50 - 12.5

g = 37.5