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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?

Respuesta :

Louli

Answer:

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 in the box is 600.

What is a percentage?

Percentage can be described as the fraction out of an amount as a number out of hundred. Percentages are a measure of frequency. The sign used to represent percentages are %.

What is the original number of cups?

In order to determine the original number of cups, divide 90 by 15%.

Original number of cups = 90 / 15%

= 90 / 0.15 = 600

To learn more about percentages, please check: https://brainly.com/question/25764815

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