Complete the table. Fern's Fruit Bouquets makes and sells bouquets of fruit. When the owner, Fern, makes the bouquets, she uses 3 pieces of plain fruit for every 2 pieces of chocol... Complete the table. Fern's Fruit Bouquets makes and sells bouquets of fruit. When the owner, Fern, makes the bouquets, she uses 3 pieces of plain fruit for every 2 pieces of chocolate-dipped fruit. Graph the data from the table.
Understand the Problem
The question is asking to complete a table based on a given ratio of plain fruit pieces to chocolate-dipped fruit pieces, and then graph the data from the completed table.
Answer
Completed table: | Plain fruit pieces | Chocolate-dipped fruit pieces | |--------------------|-------------------------------| | 3 | 2 | | 6 | 4 | | 18 | 12 |
Answer for screen readers
Completed table:
| Plain fruit pieces | Chocolate-dipped fruit pieces |
|---|---|
| 3 | 2 |
| 6 | 4 |
| 18 | 12 |
Steps to Solve
-
Identify the ratio
The ratio of plain fruit pieces to chocolate-dipped fruit pieces is given as 3:2. This means for every 3 pieces of plain fruit, there are 2 pieces of chocolate-dipped fruit. -
Complete the missing values
We will find the missing values in the table using the established ratio.- For the second column:
The plain fruit pieces are 6. To find the chocolate-dipped fruit pieces, we set up the ratio:
$$ \frac{3}{2} = \frac{6}{x} $$
Cross-multiplying gives: $$ 3x = 12 $$ Solving for $x$ yields: $$ x = 4 $$
So, when there are 6 plain fruit pieces, there are 4 chocolate-dipped fruit pieces.
- For the third column:
The plain fruit pieces are 18. Using the same ratio, we find:
$$ \frac{3}{2} = \frac{18}{y} $$
Cross-multiplying gives: $$ 3y = 36 $$ Solving for $y$ yields: $$ y = 12 $$
So, when there are 18 plain fruit pieces, there are 12 chocolate-dipped fruit pieces.
- For the second column:
The plain fruit pieces are 6. To find the chocolate-dipped fruit pieces, we set up the ratio:
$$ \frac{3}{2} = \frac{6}{x} $$
-
Fill in the table
Now we can fill in the completed values for the table:
| Plain fruit pieces | Chocolate-dipped fruit pieces |
|---|---|
| 3 | 2 |
| 6 | 4 |
| 18 | 12 |
Completed table:
| Plain fruit pieces | Chocolate-dipped fruit pieces |
|---|---|
| 3 | 2 |
| 6 | 4 |
| 18 | 12 |
More Information
The completion of the table uses the concept of ratios, which are used to compare quantities. In this case, the ratio provides a consistent way to maintain the relationship between plain and chocolate-dipped fruits as quantities change.
Tips
- Ignoring the ratio: Ensure to use the correct ratio for every calculation to maintain proportion.
- Calculation errors: Double-check arithmetic, especially during cross-multiplication.
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