SOLUTION: the nut house sells walnuts for $4.00 a pound and cashews for $7.00 a pound. how many pounds of CASHEWS should be mixed with 10 pounds of walnuts to obtain a mixture that sells for

Question 101750This question is from textbook algebra 1
: the nut house sells walnuts for $4.00 a pound and cashews for $7.00 a pound. how many pounds of CASHEWS should be mixed with 10 pounds of walnuts to obtain a mixture that sells for $5.50 a pound? how do i figure out how many pounds of cashews should be mixed with the 10 pounds of walnuts?This question is from textbook algebra 1

Answer by ptaylor(1894) (Show Source):
You can put this solution on YOUR website!
Let x=number of pounds of cashews needed
Value of the cashews=$7x
Value of the walnuts=$4*10
Value of the final mixture $5.50*(10+x)
Now we know that the value of the nuts before the mixture is equal to the value of the nuts after the mixture. So we have:
($ are understood)
7x+4*10=5.50*(10+x) get rid of parens
7x+40=55+5.5x subtract 40 and also 5.5x from both sides
7x+40-40-5.5x=55-40+5.5x-5.5x collect like terms
1.5x=15
x=10---------------------------------number of pounds of cashews needed
CK
7*10+4*10=5.5*20
70+40=110
110=110

Hope this helps----ptaylor