SOLUTION: Alice works in a nut shop. She is suppose to add some Spanish peanuts worth 84cents a pound to 40 lbs of Virginia Peanuts worth 71 cents a pound to make a mixture worth 79 cents a

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Question 1001820: Alice works in a nut shop. She is suppose to add some Spanish peanuts worth 84cents a pound to 40 lbs of Virginia Peanuts worth 71 cents a pound to make a mixture worth 79 cents a pound. How many pounds of Spanish peanuts should he add?
* plz, it would be great if you used a table chart or explained step by step. Thanks!
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Table or Chart? Creating one would seem more trouble than needed. Maybe try to understand this as a uniform rates situation.
PRICE%2AQUANTITY=COST
PRICE=COST%2FQUANTITY
Cost does not appear in the description; only prices and quantities. Cost will need to be included and the person analyzing the problem should include cost. 



               Price        Qty     COST

Spanish         84           x      84x

Virginia        71          40      71*40

Mixture         79         x+40     84x+71*40

Now, use the basic formula relating price, quantity and cost. The expressions and numbers are shown in the Mixture row.

highlight_green%28%2884x%2B71%2A40%29%2F%28x%2B40%29=79%29
Solve for x. That is the quantity of Spanish Peanuts to use for making the needed mixture price.