Question

Mia has set up a lemonade stand outside her house and sells small cups and large

cups of lemonade. Each small cup holds 12 ounces of lemonade and each large cup
hold 22 ounces of lemonade. Mia sold 80 cups of lemonade totaling 1460 ounces.
Determine the number of small cups sold and the number of large cups sold.

Answer 1

• small cups: 30
• large cups: 50

Explanation:

You want the number of small (12 oz) cups and large (22 oz) cups sold if 80 total cups and 1460 ounces were sold.

Setup

We can let x represent the number of large cups sold. Then 80-x is the number of small cups sold, and the total ounces of lemonade sold are ...

12(80 -x) +22x = 1460

Solution

Simplifying the equation gives ...

960 +10x = 1460

10x = 500

x = 50

Then the number of small cups sold is ...

80 -x = 80 -50 = 30

30 small cups and 50 large cups were sold.

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