Lesson Gourmet candy mixture

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> Lesson Gourmet candy mixture      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

This Lesson (Gourmet candy mixture) was created by by AnlytcPhil(1806) About Me : View Source, Show
About AnlytcPhil:
How many pounds of gourmet candy selling for $2.80 per pound should be mixed with 7 pounds of gourmet candy selling for $1.60 per pound to obtain a mixture selling for $1.96 per pound?
 +  = 
     ↓      ↓       ↓      ↓       ↓ 
     ↓      ↓       ↓      ↓       ↓
  $2.80x    +    $11.20    =   $1.96(x+7)

Drop the dollar marks and move the decimals two places right

               280x + 1120 = 196(x+7)

               280x + 1120 = 196x + 1372

Subtract 1120 from both sides:

                      280x = 196x + 252

Subtract 196x from both sides:

                       84x = 252

Divide both sides by 84

                      %2884x%29%2F84 = 252%2F84
                          
                        x = 3

Answer 3 pounds.

Edwin
This lesson has been accessed 3517 times.