Question

Ms. Garcia is selling smoothies at the Flea Market. Yesterday, she sold 24

strawberry smoothies and 5 chocolate smoothies, for a profit of $200,
Today, she made a profit of $300 by selling 30 strawberry smoothies
and 11 chocolate smoothies. How much profit does Ms. Garcia earn from
each smoothie?

Answer 1

The profit form a strawberry smoothie is of $26.32, and the profit from a chocolate smoothie is of $26.32.

Explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the profit from a strawberry smoothie.

y is the profit from a chocolate smoothie.

Se sold 24 strawberry smoothies and 5 chocolate smoothies, for a profit of $200.

This means that: 24x + 5y = 200

Today, she made a profit of $300 by selling 30 strawberry smoothies and 11 chocolate smoothies.

This means that 30x + 11y = 300

So we have the following system:

24x + 5y = 200

30x + 11y = 300

I will use the addition method, multiplying the first equation by 5 and the second by -4. So

120x + 25y = 1000

-120x - 44y = -1500

So, adding both equations, we get:

`-19y = -500`

`19y = 500`

`y = (500)/(19)`

`y = 26.32`

And for x:

`24x = 200 - 5y`

`24x = 200 - 5(26.32)`

`24x = 68.4`

`x = (68.4)/(24)`

`x = 2.85`

The profit form a strawberry smoothie is of $26.32, and the profit from a chocolate smoothie is of $26.32.