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