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 attempt 1 out of 2 mia sold small cups and large cups.

Explanation:

Step1: Define variables

Let $x$ = number of small cups, $y$ = number of large cups.

Step2: Set up total cups equation

$x + y = 80$

Step3: Set up total ounces equation

$12x + 22y = 1460$

Step4: Isolate $x$ from Step2

$x = 80 - y$

Step5: Substitute $x$ into Step3 equation

$12(80 - y) + 22y = 1460$
$960 - 12y + 22y = 1460$
$960 + 10y = 1460$

Step6: Solve for $y$

$10y = 1460 - 960$
$10y = 500$
$y = 50$

Step7: Solve for $x$ using Step4

$x = 80 - 50 = 30$

Answer:

Mia sold 30 small cups and 50 large cups.