Aworker at a snack stand opened a new box of cups. the first day, the worker used 30 cups from the box. the second day, the worker used 15% of the remaining cups in the box. a total of 90 cups were used on the second day. what was the original number of cups in the box before any cups were used?

The original number of cups in the box before any cups were used is 630 cups

Explanation:

Assume that the original number of cups in the box was x

We know that, on the first day, the worker used 30 cups

This means that:

The number of cups remaining after the first day was x-30 cups

Now, for the second day, he used 15% of the remaining cups. We are also given that 15% of the remaining cups is 90 cups

This means that:

15% * number of remaining cups = 90

15% * (x-30) = 90

0.15(x-30) = 90

0.15x - 4.5 = 90

0.15x = 94.5

x = 630

Based on the above:

The original number of cups in the box before any cups were used is 630 cups

Hope this helps :)

The original number of cups was 630.

Step-by-step explanation:

Let us call the original number of cups in the box, then on the first day the worker used 30 cups, therefore the cups remaining in the box are:

Now on the second day the worker used 15% of those remaining cups, so he used

cups.

And we are told that this is 90 cups, thus we have:

Now we solve this equation for and get

Therefore the original number of cups in the box is 90 cups.