Question

Marta’s fruit stand sold many oranges on Thursday and twice as many on Friday. All together, on both days, she sold 108. Which equation represents the problem? 108 – 2x = x 2x – x = 108 x + 108 = 2x x + 2x = 108

Answer 1

The correct equation to represent the problem of Marta's fruit stand selling oranges is x + 2x = 108, where x is the number of oranges sold on Thursday. Marta sold 36 oranges on Thursday, and 2 * 36 = 72 oranges on Friday.

Step-by-step explanation:

The question deals with creating an equation to describe a situation involving the sale of oranges over two days. To solve this problem, let's define x as the number of oranges sold on Thursday. According to the problem, twice as many oranges were sold on Friday, so we can say that 2x represents the oranges sold on Friday. The total number of oranges sold over the two days is given as 108. Therefore, the correct equation to represent this problem is:

x + 2x = 108

This equation states that the number of oranges sold on Thursday plus twice the number sold on Friday equals 108. To solve for x, we combine like terms:

3x = 108

Then, to find the value of x, we divide both sides of the equation by 3:

x = 108 / 3

x = 36

So, Marta sold 36 oranges on Thursday, and 2 * 36 = 72 oranges on Friday.

Answer 2

The equations that represent correctly the problem are A. 108 - 2x = x and D. x + 2x = 108

Step-by-step explanation:

Oranges sold on Thursday = x

Oranges sold on Friday = 2x

Oranges sold on Thursday and Friday = 108

Formula for calculating the value of x :

x + 2x = 108

The correct answer to this question could be alternative D. x + 2x = 108, but if we take a closer look, we'll find that there are other valid options.

A. 108 - 2x = x

- 2x - x = - 108 (changing the positions and putting the variables on one side and the whole number on the other)

x + 2x = 108 (multiplying by - 1 at both sides and it's also correct)

B. 2x - x = 108 (This is incorrect because the sales of Thursday plus the sales of Friday equal to 108, not minus)

C. x + 108 = 2x

x - 2x = - 108 (This is also incorrect because the sales of Thursday plus the sales of Friday equal to 108, not minus)

Now, let's find the solution

x + 2x = 108

3x = 108

X = 36 (Oranges sold on Thursday)

2x = 72 (Oranges sold on Friday)

After doing all this explanations, we found that equations A and D represent the problem.