Question
Ellen earned a total of $12 by selling 3 cups of lemonade. How many cups of lemonade does Ellen need to sell in all to earn $16? Solve using unit rates.
_ cups
_ cups
Answers
GPT-4o mini
To find out how many cups of lemonade Ellen needs to sell to earn $16, we first need to determine her earnings per cup.
Ellen earned a total of $12 by selling 3 cups of lemonade. We can calculate her earnings per cup (unit rate) as follows:
\[
\text{Earnings per cup} = \frac{\text{Total earnings}}{\text{Number of cups}} = \frac{12}{3} = 4
\]
This means Ellen earns $4 for each cup of lemonade sold.
Next, we want to find out how many cups she needs to sell to earn $16. We can set up the equation using the unit rate:
\[
\text{Number of cups needed} = \frac{\text{Total earnings desired}}{\text{Earnings per cup}} = \frac{16}{4} = 4
\]
Thus, Ellen needs to sell **4 cups** of lemonade to earn $16.
The final answer is:
\[
\boxed{4}
\]
Ellen earned a total of $12 by selling 3 cups of lemonade. We can calculate her earnings per cup (unit rate) as follows:
\[
\text{Earnings per cup} = \frac{\text{Total earnings}}{\text{Number of cups}} = \frac{12}{3} = 4
\]
This means Ellen earns $4 for each cup of lemonade sold.
Next, we want to find out how many cups she needs to sell to earn $16. We can set up the equation using the unit rate:
\[
\text{Number of cups needed} = \frac{\text{Total earnings desired}}{\text{Earnings per cup}} = \frac{16}{4} = 4
\]
Thus, Ellen needs to sell **4 cups** of lemonade to earn $16.
The final answer is:
\[
\boxed{4}
\]