Problema Solution
At a concession stand, threethree hot dogshot dogs and fourfour hamburgershamburgers cost $10.0010.00; fourfour hot dogshot dogs and threethree hamburgershamburgers cost $9.259.25. Find the cost of one hot doghot dog and the cost of one hamburgerhamburger.
Answer provided by our tutors
Let
x = the cost of one hot dog
y = the cot of one hamburger
3 hot dogs and 4 hamburgers cost $10.00:
3x + 4y = 10
4 hot dogs and 3 hamburgers cost $9.25:
4x + 3y = 9.25
We have the following system of equations:
3x + 4y = 10
4x + 3y = 9.25
........
click here to see the system of equations solved for x and y
........
x = $1.00
y = $1.75
The cost of one hot dog is $1.00, while the cost of one hamburger is $1.75.