SOLUTION: A store sold 22 sweatshirts. White one cost $9.95 and the yellow ones cost $13.50. If $272.15 worth of sweatshirts were sold, how many of each were sold?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A store sold 22 sweatshirts. White one cost $9.95 and the yellow ones cost $13.50. If $272.15 worth of sweatshirts were sold, how many of each were sold?      Log On


   

Question 968722: A store sold 22 sweatshirts. White one cost $9.95 and the yellow ones cost $13.50. If $272.15 worth of sweatshirts were sold, how many of each were sold?
Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number of Whites be x
Then the number of Yellows, using
ONE PART = TOTAL MINUS OTHER PART,
is 22-x.
                      Money      Money
Type       Number      from       from
 of          of        EACH       ALL
shirts     shirts     shirt     shirts
-------------------------------------------
Whites      x          $9.95    $9.95x
Yellows    22-x       $13.50   $13.50(22-x)
-------------------------------------------
TOTALS      22        -----   $272.15

 The equation comes from the column on the right

  %28matrix%284%2C1%2CMoney%2Cfrom%2CALL%2CWhites%29%29%22%22%2B%22%22%28matrix%284%2C1%2CMoney%2Cfrom%2CALL%2CYellows%29%29%22%22=%22%22%28matrix%285%2C1%2CTotal%2Cmoney%2Cfrom%2CALL%2Cshirts%29%29

  9.95x + 13.50(22-x) = 272.15

Get rid of decimals by multiplying every term by 100:

   995x + 1350(22-x) = 27215

995x + 29700 - 1350x = 27215

       -356x + 29700 = 27215

               -355x = -2485

                   x = 7 = the number of Whites.

The number of Yellows is 22-x or 22-7 or 15 Yellows.

Checking:  7 Whites is $69.65 and 15 Yellows is $202.50

            And indeed $69.65 + $202.50 = $272.15
Edwin