Question 5 A)Skye is placing oranges on a shelf at the grocery store. The oranges are in 10 boxes, with the same number of oranges in each box. Skye ran out of space on the shelves, so he has to leave 8 oranges in each box. If the shelf holds 50 oranges, how many oranges were in each original box? Interpret the solution that is x=13. (1 point) Responses There were 10 oranges on the shelf. There were 10 oranges on the shelf. There were 13 oranges on the shelf. There were 13 oranges on the shelf. There were 8 oranges in each original box. There were 8 oranges in each original box. There were 13 oranges in each original box. There were 13 oranges in each original box.

Answer 1

To solve the problem, we need to define the variables and set up an equation based on the given information.

Let \( x \) be the number of oranges in each original box. Since there are 10 boxes, the total number of oranges is:

\[ 10x \]

According to the problem, Skye had to leave 8 oranges in each box, which means the total number of oranges left on the shelf is:

\[ 10 \times 8 = 80 \]

However, the problem states that the shelf holds only 50 oranges. This means there is a discrepancy here. It is possible that we should interpret the given conditions differently.

If we let \( y \) be the number of oranges remaining on the shelf, then the equation can be written as:

\[ 10x - y = 50 \]

Where \( y \) is also expressed as the total number of oranges remaining on the shelf, which should be 80 based on the 8 oranges left in each of the 10 boxes. Therefore, the system isn’t consistent unless the original statements or conditions are reconsidered.

Assuming instead that the conclusion is targeting the original number of oranges per box based on a condition where only part of them (in this case, 50) can be fitted in some "open space", we recalculate like this:

If all oranges could fit—then we can analyze this:

1. With \( x = 13 \): \[ 10 \times 13 = 130 \]

Among these, if Skye must keep 8 per box, we see: \[ 10 \times 8 = 80 \]

Indicating that as earlier mentioned, even if only some could be displayed, originally there were enough to satisfy all box conditions.

Now interpreting the solution where \( x = 13 \):

• This would imply that there were originally 13 oranges in each box before any were taken out for display purposes.

Therefore, the correct answer is:

There were 13 oranges in each original box.