Answer:
cost of each Falafel wraps = $6
cost of each Turkey BLT sandwiches: $8
cost of each hot Ham and Swiss paninis: $6.75
Step-by-step explanation:
Let's call:
x: cost of each Falafel wraps
y: cost of each Turkey BLT sandwiches
z: cost of each hot Ham and Swiss paninis
The information can be expressed mathematically as follows:
10x + 25y + 15z = 361.25 (eq. 1)
15x + 13y + 22z = 342.50 (eq. 2)
8x + 22y + 20z = 359 (eq. 3)
subtracting equation 2 to equation 1 multiplied by 1.5, we get:
24.5y + 0.5z = 199.375 (eq. 4)
equation 1 multiplied by 0.8:
8x + 20y + 12z = 289 (eq. 5)
subtracting equation 5 to equation 3:
2y + 8z = 70 (eq. 6)
equation 4 multiplied by 16:
392y + 8z = 3190 (eq. 7)
subtracting equation 6 to equation 7:
390y = 3120
y = 3120/390 = 8
Replacing into equation 6:
2(8) + 8z = 70
z = (70 - 16)/8 = 6.75
Replacing into equation 1:
10x + 25(8) + 15(6.75) = 361.25
x = [361.25 - 25(8) - 15(6.75)]/10 = 6
