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.