A bouquet of 24 flowers is made up of roses lilies and dahlias. There are twice as many roses as delias there's one fewer lilly than there are roses. how many dahlias in the bouquet

Let:
- \( r \) represent the number of roses,
- \( l \) represent the number of lilies, and
- \( d \) represent the number of dahlias.

We are given the following information:
1. The total number of flowers is 24:
   \[
   r + l + d = 24
   \]
2. There are twice as many roses as dahlias:
   \[
   r = 2d
   \]
3. There is one fewer lily than there are roses:
   \[
   l = r - 1
   \]

### Step-by-step Solution:
1. Substitute \( r = 2d \) into the equation \( l = r - 1 \):
   \[
   l = 2d - 1
   \]
2. Now substitute \( r = 2d \) and \( l = 2d - 1 \) into the total number of flowers equation \( r + l + d = 24 \):
   \[
   2d + (2d - 1) + d = 24
   \]
3. Simplify the equation:
   \[
   5d - 1 = 24
   \]
4. Solve for \( d \):
   \[
   5d = 25
   \]
   \[
   d = 5
   \]

Thus, there are **5 dahlias** in the bouquet.

Would you like more details or have any questions?

### Related questions:
1. How many roses are there in the bouquet?
2. How many lilies are there in the bouquet?
3. What if there were 3 fewer lilies than roses?
4. What if the bouquet contained 30 flowers instead of 24?
5. How would the result change if there were 3 times as many roses as dahlias?

### Tip:
Always translate word problems into equations using defined variables to organize the information clearly.

A bouquet of 24 flowers is made up of roses, lilies, and dahlias. There are twice as many roses as dahlias, and there's one fewer lily than there are roses. How many dahlias are in the bouquet?

Solve a word problem involving a bouquet of 24 flowers, composed of roses, lilies, and dahlias. Learn how to use algebraic equations and substitution to determine how many dahlias are in the bouquet. Suitable for students in Grades 6-8.

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