Ashley 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 type did she sell?

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