Question

Ashley has 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

• Small cups were 98
• Large cups were 57

Explanation:

Ashley sold small cups of lemonade for $1.25 and;

Large cups of lemonade for $2.50

The total number of cups = 155 cups

Total sales = $265

Let number of small cups sold be (s) and a number of large cups sold be (l)

This forms a simultaneous equation below:

s + l = 155 ... (i)

1.25s + 2.5l = 265 ... (ii)

Multiplying (i) by 1.25 and (ii) by 1 we get:

1.25s + 1.25l = 193.75 ... (i)

1.25s + 2.5l = 265 ... (ii)

Subtracting (i) from (ii) we get:

0s + 1.25l = 71.25

1.25l = 71.25

l = 71.25 ÷ 1.25 = 57

So the number of large cups = 57 and;

the number of small cups = 155 - 57 = 98