The Soccer Boosters club sells hotdogs and hamburgers at the games to raise funds for the soccer team. Chili Cheese Hotdogs sell for $3.00 and hamburgers sell for $2.50. At the game last week 175 people purchased a chili cheese hotdog or hamburger and exactly $480 was collected. How many of each was sold?

Question

The Soccer Boosters club sells hotdogs and hamburgers at the games to raise funds for the soccer team. Chili Cheese Hotdogs sell for $3.00 and hamburgers sell for $2.50.  At the game last week 175 people purchased a chili cheese hotdog or hamburger and exactly $480 was collected.  How many of each was sold?

anonymous · Answer

this sounds like 2 equations, 2 unknowns...

You can set up an equatin for the number of purchases total ( = 175), and a 2nd equation for the amount of money collect ( = $480)

anonymous · Answer

2 unknowns, is where i was stuck at

anonymous · Answer

Well, let's call the number of people purchasing chili cheese dogs C
and the number buying hamburgers, H

So H + C = 175 people    does that sound right?

anonymous · Answer

i follow now, i see where i got confused

anonymous · Answer

You still need a second equation... one that uses the $480 information.

sales mean $3 per chili dog and $2.50 per hamburger.

So 3C is the amount of money for C people who bought dogs
and 2.50H is the amount of money for the H people who bought hamburgers

and the total amount of money from both is $480.

anonymous · Answer

thank you jake, i just had a V8..I got it!

anonymous · Answer

cool :)  Glad to help!