Fiona And Her Friends Went To A Smoothie Shop. They Ordered Three Strawberry Smoothies And Two Protein Shakes For A Total Of $ 24.00 \$24.00 $24.00 . Last Week, They Ordered One Strawberry Smoothie And Four Protein Shakes For A Total Of

Fiona's Smoothie Shop Adventure: A Math Problem

Fiona and her friends are regular customers at a local smoothie shop. They have a habit of ordering a mix of strawberry smoothies and protein shakes. In this article, we will explore the math behind their smoothie shop orders and try to find a pattern in their purchases.

Fiona and her friends went to the smoothie shop and ordered three strawberry smoothies and two protein shakes for a total of $\$24.00$. Let's break down the cost of each item:

• Three strawberry smoothies: $3 \times \$8.00 = \$24.00$
• Two protein shakes: $2 \times \$4.00 = \$8.00$

The total cost of the order is $\$24.00$, which is the sum of the cost of the strawberry smoothies and the protein shakes.

Last week, Fiona and her friends ordered one strawberry smoothie and four protein shakes for a total of $\$20.00$. Let's break down the cost of each item:

• One strawberry smoothie: $\$8.00$
• Four protein shakes: $4 \times \$4.00 = \$16.00$

The total cost of the order is $\$20.00$, which is the sum of the cost of the strawberry smoothie and the protein shakes.

Let's compare the two orders and see if we can find a pattern. In the first order, Fiona and her friends ordered three strawberry smoothies and two protein shakes for a total of $\$24.00$. In the second order, they ordered one strawberry smoothie and four protein shakes for a total of $\$20.00$.

We can see that the total cost of the second order is $\$4.00$ less than the total cost of the first order. This suggests that the cost of the protein shakes is $\$4.00$ less than the cost of the strawberry smoothies.

Let's analyze the pattern of the orders. In the first order, Fiona and her friends ordered three strawberry smoothies and two protein shakes. In the second order, they ordered one strawberry smoothie and four protein shakes.

We can see that the number of protein shakes in the second order is twice the number of protein shakes in the first order. This suggests that the cost of the protein shakes is half the cost of the strawberry smoothies.

Fiona and her friends have a habit of ordering a mix of strawberry smoothies and protein shakes at the smoothie shop. By analyzing their orders, we can see a pattern in their purchases. The cost of the protein shakes is half the cost of the strawberry smoothies, and the number of protein shakes in the second order is twice the number of protein shakes in the first order.

Let's use math to explain the pattern. Let $x$ be the cost of one strawberry smoothie and $y$ be the cost of one protein shake. We know that the cost of three strawberry smoothies is $3x$ and the cost of two protein shakes is $2y$.

We also know that the total cost of the first order is $\$24.00$, which is the sum of the cost of the strawberry smoothies and the protein shakes. This can be represented by the equation:

$$3x + 2y = 24$$

Similarly, the total cost of the second order is $\$20.00$, which is the sum of the cost of the strawberry smoothie and the protein shakes. This can be represented by the equation:

$$x + 4y = 20$$

We can solve these equations to find the values of $x$ and $y$. By subtracting the second equation from the first equation, we get:

$$2x - 2y = 4$$

Dividing both sides by 2, we get:

$$x - y = 2$$

We can also add the two equations to get:

$$4x + 6y = 44$$

Subtracting the equation $x + 4y = 20$ from this equation, we get:

$$3x + 2y = 24$$

This is the same equation we derived earlier. We can solve this equation to find the value of $x$.

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We can solve the equation $3x + 2y = 24$ to find the value of $x$. We know that $y = 4$, so we can substitute this value into the equation:

$$3x + 2(4) = 24$$

Simplifying the equation, we get:

$$3x + 8 = 24$$

Subtracting 8 from both sides, we get:

$$3x = 16$$

Dividing both sides by 3, we get:

$$x = \frac{16}{3}$$

$$

We can also solve the equation $x + 4y = 20$ to find the value of $y$. We know that $x = \frac{16}{3}$, so we can substitute this value into the equation:

$$\frac{16}{3} + 4y = 20$$

Subtracting $\frac{16}{3}$ from both sides, we get:

$$4y = 20 - \frac{16}{3}$$

Simplifying the equation, we get:

$$4y = \frac{60 - 16}{3}$$

$$4y = \frac{44}{3}$$

Dividing both sides by 4, we get:

$$y = \frac{44}{12}$$

$$y = \frac{11}{3}$$

Fiona and her friends have a habit of ordering a mix of strawberry smoothies and protein shakes at the smoothie shop. By analyzing their orders, we can see a pattern in their purchases. The cost of the protein shakes is half the cost of the strawberry smoothies, and the number of protein shakes in the second order is twice the number of protein shakes in the first order.

We can use math to explain the pattern. By solving the equations $3x + 2y = 24$ and $x + 4y = 20$, we can find the values of $x$ and $y$. We find that $x = \frac{16}{3}$ and $y = \frac{11}{3}$.

The final answer is that the cost of one strawberry smoothie is $\$5.33$ and the cost of one protein shake is $\$3.67$.
Fiona's Smoothie Shop Adventure: A Math Problem Q&A

In our previous article, we explored the math behind Fiona and her friends' smoothie shop orders. We analyzed their purchases and found a pattern in their orders. In this article, we will answer some frequently asked questions about the math behind the smoothie shop orders.

A: The pattern in Fiona and her friends' smoothie shop orders is that the cost of the protein shakes is half the cost of the strawberry smoothies, and the number of protein shakes in the second order is twice the number of protein shakes in the first order.

A: We found the pattern by analyzing the two orders that Fiona and her friends made. We broke down the cost of each item in each order and compared the two orders to find the pattern.

A: The cost of one strawberry smoothie is $\$5.33$.

A: The cost of one protein shake is $\$3.67$.

A: We found the cost of one strawberry smoothie and one protein shake by solving the equations $3x + 2y = 24$ and $x + 4y = 20$. We found that $x = \frac{16}{3}$ and $y = \frac{11}{3}$, which represents the cost of one strawberry smoothie and one protein shake, respectively.

A: The total cost of the first order is $\$24.00$.

A: The total cost of the second order is $\$20.00$.

A: We found the total cost of each order by adding the cost of each item in each order. For the first order, we added the cost of three strawberry smoothies and two protein shakes. For the second order, we added the cost of one strawberry smoothie and four protein shakes.

A: The difference between the total cost of the first order and the total cost of the second order is $\$4.00$.

A: We found the difference between the total cost of the first order and the total cost of the second order by subtracting the total cost of the second order from the total cost of the first order.

In this article, we answered some frequently asked questions about the math behind Fiona and her friends' smoothie shop orders. We found a pattern in their orders and determined the cost of one strawberry smoothie and one protein shake. We also found the total cost of each order and the difference between the total cost of the first order and the total cost of the second order.