James has twice as many stamps as Daisy. Helen has thrice as many stamps as James. If Helen has 162 stamps, how many stamps does Daisy have?

Let:

- \( D \) be the number of stamps Daisy has,
- \( J \) be the number of stamps James has, and
- \( H \) be the number of stamps Helen has.

We know the following relationships:

- Helen has 162 stamps, so \( H = 162 \),
- Helen has thrice as many stamps as James, so \( H = 3J \),
- James has twice as many stamps as Daisy, so \( J = 2D \).

### Step 1: Find the number of stamps James has.
Since \( H = 162 \) and \( H = 3J \), we can solve for \( J \):
\[
162 = 3J \implies J = \frac{162}{3} = 54.
\]

### Step 2: Find the number of stamps Daisy has.
We know \( J = 54 \) and \( J = 2D \), so we can solve for \( D \):
\[
54 = 2D \implies D = \frac{54}{2} = 27.
\]

Thus, Daisy has **27 stamps**.

Would you like further details on any part of the solution?

Here are 5 related questions for practice:
1. If James had 10 more stamps, how many would Daisy have?
2. What if Helen had 180 stamps instead of 162?
3. How many stamps would Daisy have if James had thrice the stamps she does?
4. If Helen gave 10% of her stamps to Daisy, how many would Daisy have?
5. How many more stamps does Helen have than Daisy?

**Tip**: Always start by organizing known relationships in word problems to set up the right equations.

Learn how to solve a problem involving proportional relationships between Helen, James, and Daisy's stamp collections. Using algebraic equations, find out how many stamps Daisy has when Helen has 162 stamps, and James has twice as many stamps as Daisy. Suitable for Grades 6-8.

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