The student council plans to have a BBQ lunch for the whole school to celebrate its victory in the volleyball finals. They need a total of 427 hotdogs and hamburgers. Hot dogs costs $0.25 each and hamburgers cost $0.80 each they have a budget of $203 for the event. How many of each should the school council buy?

Question

The student council plans to have a BBQ lunch for the whole school to celebrate its victory in the volleyball finals. They need a total of 427 hotdogs and hamburgers. Hot dogs costs $0.25 each and hamburgers cost $0.80 each  they have a budget of $203 for the event. How many of each should the school council buy?

Reiny · Answer

number of hotdogs --- x number of hamburgers -- (427-x) .25x + .8(427-x) = 203 times 100 25x + 80(427-x) = 20300 -55x + 34160 = 20300 -55x = -13860 x = 252 need 252 hotdogs and 175 hamburgers