Answer:
Number of small cups of lemonade that was sold by Ashley = 98
Number of large cups of lemonade that was sold by Ashley = 57
Step-by-step explanation:
Let x = number of small cups of lemonade that was sold by Ashley.
Let y = number of large cups of lemonade that was sold by Ashley.
x small cups of lemonade was sold for $1.25 and y large cups of lemonade was sold for $2.50. The total cost was $265. This means
1.25x + 2.5y = 265 - - - - - - -1
Ashley sold a total of 155 small and large cups of lemonade. This means
x + y = 155 - - - - - -2
Substituting x = 155-y into equation 1,
It becomes
1.25(155-y) + 2.5y = 265
-1.25y + 2.5y = 265
- 1.25y + 2.5y = 265 -193.75
1.25y = 71.25
y = 71.25/1.25
y = 57
x = 155-y = 155-57
x = 98
