Sandy bought a soft drink for $3 and 6 candy bars. She spent a total of $33. Whichequation best represents the cost of a single candy bar? There may be more than onepossible answer.A. X/6+3=33B. 3x+6=33C. 33/3+6=xD. 6x+3=33



Answer :

We can write this situation as follows, and from it we can derivate possible options:

She bought one soft drink ($3) and 6 candy bars, and spent a total of $33:

3 + 6x = 33 [1]

This equation translates the situation (mathematically).

Then, we can say, that (solving for x):

Subtracting 3 to both sides of equation [1]:

3 - 3 + 6x = 33 - 3

0 + 6x = 30

Dividing both sides by 6, we finally have that the cost of each candy bar is:

6x/ 6 = 30/6

x = 5.

We can check this:

6 candy bars * $5 = $30

$30 + $3 = $33.

We can see from options that (using equation [1]) option D is one of the possible answers:

6x + 3 = 33 = 3 + 6x = 33

Evaluation of the other options:

1. Option A is not the same as [1]

x/6 + 3 = 33 is different to 3 + 6x = 33.

2. Option B is not the same as [1]

3x + 6 = 33 is different to 3 + 6x = 33.

Option C x = 33/3 + 6 is different to [1]. In [1] x = (33 - 3)/6

So, option D, is the possible answer.