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. Read more

Steps to Solve

1. 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.

2. 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.

3. Fill in the table
   Now we can fill in the completed values for the table: