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 totak of 155 cups of lemonade for 265, how many cups of each type did she sell?

Let S be the number of small cups and L the number of large cups sold

1.25 ·S + 2.50·L=265

S+L=155 or we can say that S=155-L

in the first equation substitute S for 155-L

1.25 (155-L) + 2.50L=265

193.75-1.25L+2.50L=265

1.25L=265-193.75

L=71.25/1.25 = 57

S=155-L=155-57=98

Ashley sold 98 small cups and 57 large cups of lemonade