Lincoln has set up a lemonade stand outside his house and sells small cups and large cups of lemonade. Each small cup holds 6 ounces of lemonade and each large cup hold 18 ounces of lemonade. Lincoln used 780 ounces of lemonade and sold 4 times as many large cups as small cups. Write a system of equations that could be used to determine the number of small cups sold and the number of large cups sold. Define the variables that you use to write the system.

The system of equations that could be used to determine the number of small cups sold and the number of large cups sold is

6x + 18y = 780

y = 4x

Step-by-step explanation:

Let x represent the number of small cups that were sold.

Let y represent the number of large cups that were sold.

Each small cup holds 6 ounces of lemonade and each large cup hold 18 ounces of lemonade. Lincoln used 780 ounces. This is expressed as

6x + 18y = 780- - - - - - - - - - 1

Lincoln sold 4 times as many large cups as small cups. This is expressed as

y = 4x

It takes 5 days to process an application.

Step-by-step explanation:

We have that number of requests per month would be equal 1600

Now, the applications in hand would be:

160 + 240 = 400

They tell us that everything must be in a number of 20 business days, therefore, the number of applications in one day would be:

1600/20 = 80

Which means that the time needed to finish an application is:

400/80 = 5 days

It takes 5 days to process an application.