. A coffee merchant has two types of coffee beans, one selling for $3 per pound and the other for $6 per pound. The beans are to be mixed to provide 100 lb of a mixture selling for $4.98 per pound. How much of each type of coffee bean should be used to form 100 lb of the mixture?

1 answer

Let the amount of $3 beans used be x pounds, let the amount of $6 beans used be 100-x pounds
then
3x + 6(100-x) = 4.98(100)

solve for x (I got x=34)