Rosa gto1 pound of cashews and 2 pounds of peanuts for $10.Sara go 2 pound of cashew and 1 pound of peanuts.Find the cost per pound for cashew and peanut

Question

I need help with this one question for algebra homework 

Answer 1

This is a two-variable problem. And, for two-variables we know we need two equations. Let's let p represent the cost per pound of peanuts and let's let c represent the cost per pound of cashews.

 

From the given information we derive:

 

Rosa: 1c + 2p = $10.00

 

and

 

Sara: 2c + 1p = $11.00

 

I like using the substitution rule rather than the elimination rule. If we solve the first equation for c we get:

 

c = $10.00 - 2p/1 or just $10.00 - 2p

 

We then plug this information into the second equation, which ultimately alleviates one of our variables. 

 

We get:

 

2($10.00 - 2p) + 1p = $11.00

$20.00 - 4p + 1p = $11.00

$20.00 -3p = $11.00

$20.00 - $11.00 = 3p

$9.00 = 3p 

$3.00/lbs = p

 

thus, 

 

c = $4.00/lbs