Abusiness shipped 90 packages one day. customers are charged $4.50 for each standard-delivery package and $9.50 for each express-delivery package. total shipping charges for the day were $555.00. how many of each kind of package were shipped?

number of  standard-delivery package   x  =  60

number of express-delivery package     y  =  30

Step-by-step explanation:

We have:

Total  number of packages shipped one day  =  90

Total shipping chages for the day  =  555  $

Charged for each standard-delivery package    =  4.5 $

Charge for each  express-delivery package     =   9.5 $

Let call    x   number of  standard-delivery package.  and

y  number of express-delivery package .

Then      x  +  y  =  90

And    4.5* x  +  9.5* y    =   555

we get a 2 equation system, solving

y  =  90  -  x

4.5*x   +  9.5 * ( 90 - x )  =  555

4.5*x   +   855 - 9.5*x  =  555

- 5*x    =  -855 + 555

5*x    =  300

 x   =   60

And then    y  =  90  - 60

y  =  30