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 1

small cup she sold = x

large cup she sold = y

so

x+y = 155

x = 155-y

1.25x + 2.50y= 265

1.25(155 -y) + 2.50y =265

193.75 - 1.25y +2.50y =265

193.75 +1.25y =265

1.25y = 71.25

y = 57

x= 155 -57= 98

small cup she sold = x = 98

large cup she sold = y =57

Answer 2

X+Y = 155

1.25X + 2.50Y = 265

1.25X + 2.50 ( 155 - X) = 265

1.25X + 387.5 - 2.50X = 265

-1.25X = 265-387.5

-1.25X = -122.5

X=98

Y = 57