Question

Little Suzie sold lemonade at her stand. The number of large lemonades she sold was 4 more than twice the number of small lemonades she sold. If she sold large lemonades for $1.25 and small lemonades for $.50 and she made a total of $41.00, how many large lemonades did she sell?

Answer 1

Suzie sold 28 large lemonades at her stand after setting up a mathematical equation to relate the number of small and large lemonades sold to the total amount of money she made.

Step-by-step explanation:

Little Suzie sold lemonade at her stand, where the number of large lemonades sold was 4 more than twice the number of small lemonades. If she sold large lemonades for $1.25 each and small lemonades for $0.50 each, making a total of $41.00, we need to find out how many large lemonades she sold.

Let's denote the number of small lemonades Suzie sold as s. Therefore, the number of large lemonades is 2s + 4.

The total revenue from small lemonades is $0.50s and the total revenue from large lemonades is $1.25(2s + 4). Adding these together gives us Suzie's total earnings:

$0.50s + $1.25(2s + 4) = $41.00.

To find the value of s, we solve the equation:

0.50s + 2.50s + 5 = 41

3s + 5 = 41

3s = 36

s = 12.

Now, substituting the value of s back into the expression for large lemonades:

Large lemonades = 2(12) + 4

Large lemonades = 28.

Hence, Suzie sold 28 large lemonades.