Problema Solution
Sells almonds for $6.50 per pound and almonds for $8.00 per pound. How much of each should be used to make a 50 pound mixture that sells for 7.40 per pound
Answer provided by our tutors
let
x = pounds of the $6.50 per pound almonds
y = pounds of the $8.00 per pound almonds
the new mix is 50 pounds thus:
x + y = 50
and it sells for $7.40 per pound:
6.50x + 8.00y = 7.40*50
by solving the system of equations
x + y = 50
6.50x + 8.00y = 7.40*50
we find
x = 20 lbs
y = 30 lbs
click here to see the step by step solution of the system of equations
20 pounds of the $6.50 per pound almonds and 30 pounds of the $8.00 per pound almonds should be used.