Question 551635
housewife wishes to mix coffee beans worth Php60 and Php85 a kilogram to obtain 50 kilograms of coffee beans worth Php70 a kilogram. How many kilograms of each should she use?
Let x = amount (kilograms) of Php60 coffee beans
then
50-x = amount (kilograms) of Php85 coffee beans
.
60x + 85(50-x) = 70(50)
60x + 4250-85x = 3500
4250-25x = 3500
-25x = 3500-4250
-25x = -750
x = 30 kilograms of Php60 coffee beans
.
Php85 coffee beans:
50-x = 50-30 = 20 kilograms