Question

(80 pts) Alexandra bought 4 hamburgers and 3 drinks for her family. The cost was $18.25. Tyler bought 6 hamburgers and 4 drinks at the same fast food restaurant for $26.50. What is the total cost of one hamburger and one drink?

Answer 1

H=hamburgers.
D=drinks

3(4h+3d=18.25) - 2(6h+4d=26.50)

12h+9d-12h-8d=54.75-53

d=1.75

4h+3(1.75)=18.25

4h+5.25=18.25

4h=13

h=3.25

cost of one hamburger and one drink is:

3.25+1.75=$5.00

Answer 2

3(4h+3d=18.25)-2(6h+4d=26.50)

12h+9d-12h-8d=54.75-53

d=1.75, use either original equation to solve for h...

4h+3(1.75)=18.25

4h+5.25=18.25

4h=13

h=3.25

So the cost of one hamburger and one drink is:

3.25+1.75=$5.00