Respuesta :
Answer:
Answer a
Following is the equation system.
Equation 1: [tex]2x+3y=31[/tex]$
Equation 2 : [tex]3x+2y=29\\[/tex]$
Answer (b)
Cost of Roaster beef sandwich = 5$
Cost of Roaster turkey sandwich = 7$
Step-by-step explanation:
Part a
Let
x= roasted beef sandwich
y=turkey sandwich
Equation for platter A will be
Equation 1: [tex]2x+3y=31[/tex]$
Equation for Platter B will be
Equation 2 : [tex]3x+2y=29\\[/tex]$
Part b
We will solve both equations simultaneously.
Multiply Equation 1 with 2.
[tex]2(2x+3y)=2*31\\4x+6y=62[/tex]
Similarly multiply Equation 2 with 3
[tex]3(3x+2y)=29*3\\9x+6y=87[/tex]
Now subtract Equation 3 from equation 4
[tex](9x+6y)-(4x+6y)=87-61\\9x-4x+6y-6y=25\\5x=25\\x=25/5\\x=5[/tex]
Now putting the value of x in eq # 1
[tex]2x+3y=31\\2(5)+3y=31\\10+3y=31\\3y=31-10\\3y=21\\y=21/3\\y=7[/tex]
Answer:
Platter A = 2x + 3y =31
Platter B = 3x + 2y =29
Turkey. Sandwich is $5 each
Beef sandwich is $8 each
step explanation:
let's represent beef with x and turkey with y
Platter A = 2x + 3y =31
Platter B = 3x + 2y =29
To get the cost of each sandwich we should solve the simultaneous equation
2x +3y = 31.... equation 1
3x + 2y = 29 .....equation 2
Solve for y in equation 1
2x +3y = 31
3y = 31- 2x
y =( 31 - 2x)/3
Substitute for y in equation 2
3x + (31 - 2x) /3 = 29 multiply through by 3
9x + 31- 2x = 87 group the equation
9x - 2x = 87 - 31
7x = 56
x = 56/7
x = 8
Substitute for x in equation 1
2x +3y = 31
2(8) + 3y = 31
16 +3y = 31
3y = 31- 16
=15
y = 15/3
y = 5
