Question

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 type did she sell?

Answer 1

The answer is 98 small and 57 large cups.

s - the number of small cups
l - the number of large cups

Ashley sold a total of 155 cups: s + l = 155
Ashley earnedfor $265: 1.25 * s + 2.50 * l = 265

s + l = 155
1.25 * s + 2.50 * l = 265
________
s = 155 - l
1.25 * s + 2.50 * l = 265
________
1.25 * (155 - l) + 2.50 * l = 265
193.75 - 1.25 * l + 2.50 * l = 265
193.75 + 1.25 * l = 265
1.25 * l = 265 - 193.75
1.25 * l = 71.25
l = 71.25 / 1.25
l = 57

______
s = 155 - l
l = 57

s = 155 - 57
s = 98