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?

Answer:Number of small cups of lemonade that was sold by Ashley = 98Number of large cups of lemonade that was sold by Ashley = 57Step-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 means1.25x + 2.5y = 265 - - - - - - -1Ashley sold a total of 155 small and large cups of lemonade. This meansx + y = 155 - - - - - -2Substituting 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 -193.751.25y = 71.25y = 71.25/1.25y = 57x = 155-y = 155-57x = 98