Problema Solution

At the Happy Burger Drive-In, you can buy two hamburgers, one chocolate shake, and two orders of fries or three hamburgers and one order of fries for $9.50. One hamburger, two chocolate shakes, and one order of fries cost $7.30. How much does a hamburger cost?

Answer provided by our tutors

let


h = the cost of one hamburger

s = the cost of one shake

f = the cost of one order of fries


you can buy two hamburgers, one chocolate shake, and two orders of fries or three hamburgers and one order of fries for $9.50


2h + s + 2f = 9.50


3h + f = 9.50


one hamburger, two chocolate shakes, and one order of fries cost $7.30


h + 2s + f = 7.30


by solving the system of equations


2h + s + 2f = 9.50

3h + f = 9.50

h + 2s + f = 7.30


we find


h = $2.8


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one hamburger costs $2.8.