Question:
Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large cups for $2.50. If Ashley sold a total of 155 cups of lemonade for $265, how many cups of each did she sell
Answer:
The number of small cups of lemonades is 98
The number of Large cups of lemonades is 57
Step-by-step explanation:
Given:
Cost of small lemonade cups = $1.25
Cost of large Lemonade cups = $2.50
Total number of lemonade cups = 155 cups
The total cost for which the lemonade is sold = $265
To Find:
Number of each types of lemonade sold = ?
Solution:
Let the number of small cups of lemonade sold be x
the number of large cups of lemonade sold be y
Then according to the question,
x+y = 155-----------------------------(1)
Then the amount earned by selling small and large lemonade cups is $265
Then
1.25x+2.50y = 265------------------(2)
From (1)
y = 155-x----------------------------------(3)
Substituting (3) in (2), we get
1.25x+ (155-x)2.50 = 265
1.25 + (387.5 -2.50x) =265
-1.25x + 387.5 = 265
-1.25x= 265 -387.5
-1.25x = -122.5
[tex]x = \frac{-122.5}{-1.25}[/tex]
x= 98--------------------------------(4)
Substituting (4) in (3)
y = 155-98
y =57
