Lillian has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cup holds 10 ounces of lemonade and each large cup hold 24 ounces of lemonade. Lillian used 580 ounces of lemonade and sold twice 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 number of small cups sold was 10 and the number of large cups sold was 20
see the explanation
Step-by-step explanation:
Let
x > the number of small cups sold
y ---> the number of large cups sold
we know that
Lillian used 580 ounces of lemonade
so
> equation A
Lillian sold twice as many large cups as small cups
so
> equation B
substitute equation B in equation A

solve for x

Find the value of y

therefore
The number of small cups sold was 10 and the number of large cups sold was 20