Solving Word Problems

Question

At a concession stand seven hot dogs and four hamburgers cost $18.50. four hot dogs and seven hamburgers cost $20.00. Find the cost of one hot dog and hamburger

hotdog ____

hamburger ____

Answer 1

let d = price of dog and h = price of hamburger

first statement gives equation 7d+4h=18.5

second statement gives 4d+7h=20

I hope you've had this next part

multiply for the first equation by 4 and the second by 7, you get

28d + 16h = 74 and 28d + 49h = 140

subtract one equation from the other and you get 33h = 66 so h =2. plug h back in the first equation and you get d = 1.5