Question

Nayeli wants to earn some extra money so she sells lemonade for $2 per cup and orange juice for $3 per cup. She sells a total of 100 cups and earns $240. Later she wants to find the number of cups of lemonade and the number of cups of orange juice she sold. Which system of equations below represents this situation?

1. 2x + 3y = 240 AND x + y = 100
2. 2x + 3y = 100 AND x + y = 240
3. x + 2y = 100 AND 3x + y = 240
4. 2x + 100 = 240.AND x = 3y

Answer 1

1

Explanation:

let x represent lemonade and y represent orange juice

the total earning is $240. 2x+3y=240 allows you to find the number of each cup you need to sell to get $240.

the total number of cups sold is 100. x+y=100 gives you the other equation necessary to find the number of cups of each sold if you told a total of 100