Grace sells two kinds of granola. One is worth $4.00 per pound and the other is worth $3.00 per pound. She wants to blend the two granolas to get a 20 pound mixture that is worth a total of $72.00. How much of each kind should she use?

Question

Grace sells two kinds of granola.  One is worth $4.00 per pound and the other is worth $3.00 per pound.  She wants to blend the two granolas to get a 20 pound mixture that is worth a total of $72.00. How much of each kind should she use?

anonymous · Answer

Have you started solving it ?

anonymous · Answer

i need to figure out how to make the equations

anonymous · Answer

okay. so first you need to setup variables for unknown quantities. Any ideas how to do that

anonymous · Answer

well one would be 4.00x and 3.00 y?

anonymous · Answer

yes that is correct 
4x is the price of one kind of granola and 3y is that of the other
Add them to get 4x + 3y = total price = 72
and x + y = total weight = 20pounds
now you have two equations

anonymous · Answer

ohhh, that makes sense. Thannk you!