Respuesta :
Answer:
Hamburgers = 27
Sodas = 93
Explanation:
Let x = Hamburgers
y= Sodas
Now form a system of equation aX + bY = C
where
a= 1.75 = coefficient of variable X
b= 0.75 = coefficient of variable Y
C= 117.50
Put these values in above equation
1.75x + 0.75y = 117.50 . . . . . (1)
Since I sold total of 120 hamburgers and sodas, we can write
x + y = 120 . . . . . (2)
or y = 120 - x ....... put this value in eq.1
1.75x + 0.75( 120 - x ) = 117.50
1.75x + 90 - 0.75x = 117.50
90 + x = 117.50
x = 117.50 - 90
x = 27 .......... put this in equation 2
x + y = 120
27 + y = 120
y = 120 - 27
y = 93
The total number of sodas sold is 93 and the total number of hamburgers sold is 27 and this can be determined by forming the linear equation.
Given :
You are selling hamburgers and sodas. A hamburger is $1.75 and soda is 0.75. You expect to make a total of $117.50 for the day You also plan to sell 120 hamburgers and sodas.
Let the total number of hamburgers be 'x' and the total number of sodas be 'y'. Then the total amount earns by selling hamburgers and sodas is:
1.75x + 0.75y = 117.50 --- (1)
The total number of sodas and hamburgers are:
x + y = 120
x = 120 - y --- (2)
Now, substitute the value of 'x' in the equation (1).
1.75(120 - y) + 0.75y = 117.50
Now, simplify the above equation.
210 - 1.75y + 0.75y = 117.50
210 - 117.5 = y
y = 92.5
y [tex]\approx[/tex] 93
Now, substitute the value of 'y' in equation (2).
x = 120 - 92.5
x = 27.5
x [tex]\approx[/tex] 27
For more information, refer to the link given below:
https://brainly.com/question/11897796
