Problema Solution

Nuts sell for $ 6.50 per pound and almonds for $ 8.00 per pound. How much of each type should be ued to make a 50 pound mixture that sells for $ 7.40 per pound?

Answer provided by our tutors

LET   x = no. lbs of 6.50 nuts 

6.50x = value of 6.50 nuts 

50 - x = no. lbs of 8.00 nuts 

 8.00(50 - x) = value of 8.00 nuts 

7.40(50) = value of mixture 

CONSIDER THE FOLLOWING EQUATION

6.50x + 8.00(50 - x) = 7.40(50) 

6.50X +400- 8X=370

-1.5X= -30

X=20 NO. LBS OF 6.50 NUTS

50 - x = 50 -20=30  lbs of 8.00 ALMONDS