SOLUTION: An office supply store recently sold a black printer ink cartridge for ​$15.99 and a color printer ink cartridge for ​$24.99. At the start of a recent fall​ semester, a total

Algebra ->  Equations -> SOLUTION: An office supply store recently sold a black printer ink cartridge for ​$15.99 and a color printer ink cartridge for ​$24.99. At the start of a recent fall​ semester, a total      Log On


   



Question 1162220: An office supply store recently sold a black printer ink cartridge for ​$15.99 and a color printer ink cartridge for ​$24.99. At the start of a recent fall​ semester, a total of 47 of these cartridges was sold for a total of ​$940.53. How many of each type were​ purchased?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x = the number of the $24.99 cartridges sold.


Then the number of the $15.99 cartridges is (47-x).


The equation for total money received is


    24.99x + 15.99*(47-x) = 940.53.


From the equation,


    x = %28940.53-15.99%2A47%29%2F%2824.99-15.99%29 = 21.


ANSWER.  21 cartridge at $24.99  and  the rest, 47-21 = 26 cartridges at $15.99.

Solved.