Algebra question

Question

a diabetic company charged $38.85 for a type A insulin and $30.34 for type B insulin.  If a total of $1417.84 was collected for 40 vials, how many of each type were sold?

 

Type A=

Type B=

Answer 1

 

Let A = # of type A vials

Let B = # of type B vials

 

    38.85A + 30.34B = 1417.84     (Equation 1)

    A + B = 40                                (Equation 2) ..... total of 40 vials

 

Solving for A in equation 2 ...

 

     A = 40 - B

 

Substituting "40 - B" for A in eqiation 1 ...

 

     38.85A + 30.34B = 1417.84

     38.85(40 - B) + 30.34B = 1417.84

     1554 - 38.85B + 30.34B = 1417.84

     1554 - 8.51B = 1417.84

     1554 - 1417.84 = 8.51B

     136.16 = 8.51B

     136.16/8.51 = B

     B = 16

 

Since A + B = 40

         A + 16 = 40

         A = 40 - 16

         A = 24

 

There are 24 type A vials and 16 type B vials.