Respuesta :
Answer:
$6.50
Step-by-step explanation:
SET UP A SYSTEM OF EQUATIONS WHERE SANDWHICHES IS REPRESENTED BY S AND DRINKS BY D:
6S+4D = 53
4S+6D=47
ADD THEM TOGETHER
10S+10D=100
SOLVE FOR D
10D = 100 - 10S
D = 10-S
SUBSTITUTE THAT VALUE INTO ONE OF THE ORIGINAL EQUATIONS
4S + 6(10-S) = 47
4S + 60 - 6S = 47
COMBINE LIKE TERMS
-2S + 60 = 47
SUBTRACT 60 FROM BOTH SIDES
-2S = -13
DIVIDE BY -2
S = 13/2
S = $6.50
Answer:
One sandwich is going to cost 6.50 while a drink is going to cost 3.50
Step-by-step explanation:
"We want to find and solve a system of equations to find the cost of one sandwich.
Each sandwich costs $6.50
We can start by defining the variables:
x = price of a sandwich
y = price of a drink.
Then from the given information we can write the equations:
6*x + 4*y = $53
4*x + 6*y = $47
We want to solve this for x, then we need to isolate y in one of the equations. Isolating y in the second equation we get:
y = ($47 - 4*x)/6
Now we can replace this in the other equation and solve it for x:
6*x + 4*($47 - 4*x)/6 = $53
6*x + $31.33 - (16/6)*x = $53
(20/6)*x = $53 - $31.33 = $21.67
x = (6/20)*$21.67 = $6.50" solved by
facundo3141592