Alexa has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cups holds 8 ounces of lemonade and each large cup hold 16 ounces of lemonade. Alexa used 320 ounces of lemonade and sold twice as many small cups as large cups. Determine the number of small cups sold and the number of large cups sold.

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Answer:

Correct Answer : Alexa sold 20 small cups and 10 large cups.

Step-by-step explanation:

The number of small cups sold and the number of large cups sold are 8 and 16 respectively.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Alexa used 320 ounces of lemonade and sold twice as many small cups as large cups.

Lets' suppose the number of small cups are x and large cups are y.

8x + 16y = 320

y = 2x (sold twice as many small cups as large cups)

Plug y = 2x in the other equation, we get:

8x +16(2x) = 320

8x + 32x = 320

x = 8 cups

y = 16 cups

Thus, the number of small cups sold and the number of large cups sold are 8 and 16 respectively.

Learn more about the linear equation here:

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