Question

The gas Station has pecans for $1.60 per pound and walnuts for $2.20 per pound how much walnut must be added to 5 pounds pecans to make a mixture to be sold at two dollars per pound solve

Answer 1

10 pounds of walnuts

Explanation:

step one:

given data

pecans sell for $1.60 per pound

walnuts sell for $2.20 per pound

mixture sells for $2 per pound

Required: the amount in pounds of walnuts

Step two:

let he amount in pounds for the walnuts be x pounds

the amount in pounds of the mixture is

(5+x ) pounds

The cost of the mixture is

5*1.6 +x*2.2 = 2(5+x)

solve for x

8+2.2x=10+2x

collect like terms

8-10=2x-2.2x

-2=-0.2x

rearrange

0.2x=2

divide through by 0.2

x=2/0.2

x=10 pounds of walnuts