Question

A store manager wishes to reduce the price of her fresh ground coffee by mixing two grades. if she has 50 pounds of coffee which sells for $1.20 per pound, how much coffee worth 80 cents per pound must she mix with it so that she can sell the final mixture for $1.00 per pound?

Answer 1

50 pounds of expensive and 50 pounds of cheap

Step-by-step explanation:

Make a variable for each type of coffee.

x = pounds of expensive coffee (we already know it is 50 pounds)

y= pounds of cheap coffee

(50 *$1.20) + ($.8y) = $1(50 +y)

60 + .8y = 50 + y

10= .2y

y= 50 pounds of cheap coffee

Answer 2

assume C and E types, which represent lbs of each.
C=50
50*1.20+.80E=1.00*(50+E)
60+.8E=50+E
.2E=10
E=50 lbs

50lbs is the answer!