Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large cups for $2.50. If Ashely sold a total of 155 cups of lemonade for $265, how many cups of each type did she sell?

Answer: 98 small cups and 57 large cups

Step-by-step explanation:

Use the information provided to create a system of equations:

Quantity Cost

Small cups: x $1.25x

Large cups: y $2.50y

Total: 155 $265

Qty: x + y = 155 → - 1.25 (x + y = 155) → - 1.25x - 1.25y = - 193.75

Cost: 1.25x + 2.50y = 265 → 1.25x + 2.50y = 265.00

1.25y = 71.25

y = 57

Substitute "y" with "57" into either equation and solve for x:

x + y = 155

x + (57) = 155

x = 98