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We are given the following information:

- The value \( R(d) \) of \( d \) dollars in euros is \( R(d) = \frac{5}{6} d \).
- The cost \( P(n) \) in dollars to purchase and ship \( n \) purses is \( P(n) = 55n + 23 \).

We need to find a formula for the cost \( Q(n) \) in euros to purchase and ship \( n \) purses.

### Steps:
1. We know that \( P(n) \) represents the cost in dollars for purchasing \( n \) purses, which is given by \( P(n) = 55n + 23 \).
2. To convert this cost from dollars to euros, we use the conversion rate provided by \( R(d) = \frac{5}{6} d \), where \( d \) is the cost in dollars.

Thus, the formula for the cost \( Q(n) \) in euros is:

\[
Q(n) = R(P(n)) = R(55n + 23) = \frac{5}{6}(55n + 23)
\]

This is the required formula for the cost in euros to purchase and ship \( n \) purses.

Would you like further details or have any other questions?

Here are 5 related questions to think about:
1. How would the formula change if the conversion rate between dollars and euros were different?
2. What is the cost in euros for purchasing 10 purses?
3. How can this formula be used to calculate the cost for large values of \( n \)?
4. What is the importance of keeping the conversion factor outside of the parentheses when converting currency?
5. How would the problem change if shipping costs were a percentage of the total purchase?

**Tip:** Always check the units when converting between currencies or other measurements to avoid calculation errors.

Suppose the value R(d) of d dollars in euros is given by R(d) = (5/6)d. The cost P(n) in dollars to purchase and ship n purses is given by P(n) = 55n + 23. Write a formula for the cost Q(n) in euros to purchase and ship n purses. It is not necessary to simplify.

Learn how to convert the cost in dollars for purchasing and shipping purses into euros using a step-by-step formula. This problem involves algebraic expressions and currency conversion calculations. Suitable for students in Grades 8-10.

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