Lesson Lesson Title

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Mixtures -> Lesson Lesson Title      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

This Lesson (Lesson Title) was created by by AnlytcPhil(1177) 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?
%28matrix%2813%2C1%2Cx%2C+pounds%2C+of%2C+candy%2C+selling%2C+for%2C+%27%242.80%27%2C+per%2C+pound%2C+which%2C+is%2C+worth%2C+%27%242.80%27x%29%29 + %28matrix%2815%2C1%2C7%2C+pounds%2C+of%2C+candy%2C+selling%2C+for%2C+%27%241.60%27%2C+per%2C+pound%2C+which%2C+is%2C+worth%2C+%27%241.60%277%2Cor%2C%2711.20%27%29%29 = %28matrix%2813%2C1%2Cx%2B7%2C+pounds%2C+of%2C+candy%2C+selling%2C+for%2C+%27%241.96%27%2C+per%2C+pound%2C+which%2C+is%2C+worth%2C+%27%241.96%27%28x%2B7%29%29%29
     ↓      ↓       ↓      ↓       ↓ 
     ↓      ↓       ↓      ↓       ↓
  $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 142 times.