SOLUTION: A cand store has two types of jelly beans, one selling for $3 per pound and the other selling for $5 per pound. The beans are to be mixed to provide 100lb of a mixture selling for

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A cand store has two types of jelly beans, one selling for $3 per pound and the other selling for $5 per pound. The beans are to be mixed to provide 100lb of a mixture selling for       Log On


   

Question 737080: A cand store has two types of jelly beans, one selling for $3 per pound and the other selling for $5 per pound. The beans are to be mixed to provide 100lb of a mixture selling for $4.50 per pound. How much of each type of jelly bean should be used to form 100lb of the mixture?
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
This is also like a mixture problem.

One kind x amount of pounds. The other kind, y pounds.
x amount is at $3/pound and y is at $5/pound.

x%2By=100 and , if you can see it quickly based on familiarity with the general type, %283x%2B5y%29%2F100=4.50.

That rational equation may seem a little too quick. Look at what it shows. The numerator accounts for the cost of the 100 pounds mixture, and the denominator is the mixture quantity. The ratio is the PRICE of the mixture, dollars per pound.

Those two equations have the same two unknown variables, so solve the system for those two unknowns.