Ashley sold 98 small cups of lemonade and 57 large cups of lemonade
<h3><u>Solution:</u></h3>Let "x" be the number of small cups sold
Let "y" be the number of large cups sold
Cost of 1 small cup = $ 1.25
Cost of 1 large cup = $ 2.50
<em><u>Given that she sold a total 155 cups</u></em>
Therefore, we get,
x + y = 155 ------ eqn 1
<em><u>She sold the cups for $ 265</u></em>
Therefore, we can frame a equation as,
number of small cups sold x Cost of 1 small cup + number of large cups sold x Cost of 1 large cup = 265
1.25x + 2.5y = 265 ----- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
Divide eqn 2 by 1.25
x + 2y = 212 ------ eqn 3
<em><u>Subtract eqn 1 from eqn 3</u></em>
x + 2y - x - y = 212 - 155
<h3>y = 57</h3><em><u>Substitute y = 57 in eqn 1</u></em>
x + 57 = 155
x = 155 - 57
<h3>x = 98</h3>Thus Ashley sold 98 small cups of lemonade and 57 large cups of lemonade