2. The Nut Barn requires 15 pounds of mixed walnuts and pecans from their wholesaler. Walnuts cost $2.26 per pound and pecans cost $1.96 per pound. How many pounds of pecans are needed if they only want to pay $2.18 per pound for the mixture?

Question

2.	The Nut Barn requires 15 pounds of mixed walnuts and pecans from their wholesaler. Walnuts cost $2.26 per pound and pecans cost $1.96 per pound. How many pounds of pecans are needed if they only want to pay $2.18 per pound for the mixture?

anonymous · Answer

Can someone help me find the answer to this? It's so confusing.

anonymous · Answer

The weight of the mixed nuts is 15 pounds.$$W+P=15$$The next equation deals with the money.$$2.26*W+1.96*P=2.18*15$$Solve the two simultaneous equations for W and P, the final weight of the walnuts and pecans respectively.
Verify that $$\{W=11 \text{ lbs},P=4 \text{ lbs}\} $$

anonymous · Answer

How do you solve for w and x? that's the part I get confused at.

anonymous · Answer

"How do you solve for W and P ?"

From the first equation, W=15-P.
Replace W in the second equation with the expression 15-P .  The result is an equation in one unknown, P, that you should be able to solve.  Plug the result for P into the first equation and calculate the value for W.

If you are not comfortable with the symbols W and P as unknowns, then replace then with the symbols x and y respectively if you wish.

anonymous · Answer

Thank you!!

anonymous · Answer

You're welcome and thank you for the medal.