The cost of 6 sandwiches and 4 drinks is $53. The code of 4 sandwiches and 6 drinks is $47. How much does one sandwich cost?

$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

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

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

sorry man i accidentally pressed yes my bad

step-by-step explanation: