Aconcession stand sells hamburgers (h) for $2 and hotdogs(d) for $1.on friday night they sold a total of 300 hamburgers and hotdogs and made $420.how many of each did they sell? which system of equations matches the situation? a)h+d=300 2h+d=420 b)h+d=420 2h+d=300 c)h+d=300 h+2d=420 d) h+d=720 2h+d=300

The first equation has to be the sum of hotdogs and hamburgers. Since a total of 300 hamburgers and hotdogs was sold, the first equation is:
          h+d=300

Now, the second equation is about the money. They say that EACH hamburger cost $2 and each hotdog cost $1. And, the total amount of money made was $420. So the second equation is:

      2h+d=420

SO, overall, the system of equations is this:

   h+d=300
   2h+d=420
     
(option A is the answer)