SOLUTION: Marcus is inventing a new cookie recipe. He'd like the recipe to contain both walnuts and gourmet chocolate chip chunks. Walnuts sell for $1.40 per pound and gourmet chips sell for
Algebra ->
Customizable Word Problem Solvers
-> Mixtures
-> SOLUTION: Marcus is inventing a new cookie recipe. He'd like the recipe to contain both walnuts and gourmet chocolate chip chunks. Walnuts sell for $1.40 per pound and gourmet chips sell for
Log On
Question 85989: Marcus is inventing a new cookie recipe. He'd like the recipe to contain both walnuts and gourmet chocolate chip chunks. Walnuts sell for $1.40 per pound and gourmet chips sell for $2.60 per pound. How many pounds of walnuts should be mixed with 3 pounds of gourmet chips to obtain a mixture selling for $1.76 per pound? Answer by ptaylor(2198) (Show Source):
You can put this solution on YOUR website!
Let x=number of lbs of walnuts needed
Total cost of walnuts=$1.40x
Total cost of gourmet chips=$2.60*3
Total cost of final mixture $1.76(3+x)
Now we know that the total cost of walnuts ($1.40x) plus total cost of gourmet chips ($2.60*3) must equal the total cost of the final mixture ($1.76(3+x)). So our equation to solve is:
$1.40x+$2.60*3=$1.76(3+x) get rid of parens
$1.40x+$7.80=$5.28+$1.76x subtract $1.76x and also $7.80 from each side of the equation
$1.40x+$7.80-$7.80-$1.76x=$5.28+$1.76x-$1.76x-$7.80 collect like terms
-$0.36x=-$2.52 divide both sides by -$0.36
x=7 lb ------------------------number of lbs of walnuts
ck
7*$1.40+3*$2.60=$1.76*10
$9.80+$7.80=$17.60
$17.60=$17.60
