I can not get the hot dog amount

Question

at a concession stand three hot dogs and four hamburgers cost $11.25; four hot dogs and thre hamburgers cost $11.50. Find the cost of one hot dog and the cost of one hamburger.

Answer 1

h=# of hot dogs

m=# of hamburgers

3h+4m=$11.25

4h+3m=$11.50

multiply the first equation by 4

12h+16m=$45.00

multiply the second equation by 3

12h+9m=$34.50

12h+16m=$45.00

12h+9m=$34.50

subtract the equations

7m=$10.50

m=$10.50/7

m=$1.50 for one hamburger

3h+(4)($1.50)=$11.25

3h+$6.00=$11.25

3h=$11.25-$6.00

3h=$5.25

h=$5.25/3

h=$1.75 for one hot dog

Answer 2

Let x = cost of one hot dog

     y = cost of one hamburger

 

3x + 4y = 11.25

4x + 3y = 11.50

 

Multiply the first equation by 4 and the second equation by -3 to get:

 

 12x + 16y = 45

-12x -   9y = -34.50

 

Adding the equations, we have 7y = 10.50

So, y = $1.50.

 

Substitute for y in one of the original equations

 

3x + 4(1.50) = 11.25

3x + 6 = 11.25

3x = 5.25

x = $1.75

 

ANSWER:  each hot dog costs $1.75 and each hamburger                 costs $1.50 

Answer 3