Question

A worker 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?

Answer 1

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

Step-by-step 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 :)