Question 220201

We'll deal in pennies, OK?
Let x=value of a bag of Cashews
Then x-30=value of a bag of peanuts

We know that the value of the cashews(20*x) and peanuts(20(x-30)) before they are mixed together has to equal the value of the final mixture(40*105), so our equation to solve is:


20x+20(x-30)=40*105 get rid of parens
20x+20x-600=4200 add 600 to each side
20x+20x-600+600=4200+600 collect like terms
40x=4800  divide each side by 40
x=120  or $1.20 value of a bag of cashews

CK
20(120)+20(90)=40*105
2400+1800=4200
4200=4200

Hope this helps---ptaylor