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)
Based on the given information, we can set up an equation to solve for the original number of oranges in each box. Let's assume that there were "x" oranges in each original box.
Since Skye left 8 oranges in each box, the number of oranges on the shelf is "x - 8".
We know that there are 10 boxes of oranges on the shelf, so we can multiply the number of oranges in each box by the number of boxes to get the total number of oranges on the shelf:
10(x - 8) = 50
Now we can solve for x:
10x - 80 = 50
10x = 130
x = 13
Interpretation: The solution x=13 means that there were originally 13 oranges in each box.
To find out how many oranges were in each original box, we can use algebra. Let's assume the number of oranges in each original box is represented by the variable "x".
According to the given information, Skye had 10 boxes of oranges, with the same number of oranges in each box. However, he ran out of space on the shelves and had to leave 8 oranges in each box. So, the number of oranges left in each box is (x - 8).
Since we know the total number of oranges left on the shelf is 50, we can set up the following equation:
10 * (x - 8) = 50
Now, let's solve the equation for x:
10x - 80 = 50
10x = 130
x = 13
So, the solution x = 13 means that there were originally 13 oranges in each box before Skye had to leave 8 oranges in each box.