Dalvin and Fatoumata work at a dry cleaners ironing shirts. Dalvin can iron 10 shirts per hour, and Fatoumata can iron 20 shirts per hour. Dalvin worked twice as many hours as Fatoumata and they ironed 200 shirts between them. Write a system of equations that could be used to determine the number of hours Dalvin worked and the number of hours Fatoumata worked. Define the variables that you use to write the system.

Let's define the variables:

- Let \( d \) represent the number of hours Dalvin worked.
- Let \( f \) represent the number of hours Fatoumata worked.

Now, let's break down the information provided:

1. **Dalvin can iron 10 shirts per hour.** So, in \( d \) hours, Dalvin will iron \( 10d \) shirts.
2. **Fatoumata can iron 20 shirts per hour.** So, in \( f \) hours, Fatoumata will iron \( 20f \) shirts.
3. **Dalvin worked twice as many hours as Fatoumata.** This gives us the equation \( d = 2f \).
4. **Together, they ironed a total of 200 shirts.** This gives us the equation \( 10d + 20f = 200 \).

### System of Equations:
\[
d = 2f
\]
\[
10d + 20f = 200
\]

This system can be used to determine the number of hours Dalvin and Fatoumata worked.

Would you like to solve this system or get more details on the solution process?

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**Related Questions:**
1. How many shirts would Dalvin and Fatoumata iron if they both worked for 5 hours?
2. What is the total number of shirts Dalvin would iron if he worked 3 hours more than Fatoumata?
3. If Dalvin worked 6 hours, how many shirts did Fatoumata iron?
4. How many hours would Fatoumata need to work alone to iron 200 shirts?
5. How many total shirts can they iron together in 8 hours?

**Tip:** When solving systems of equations, substitution is a great method if one variable is already expressed in terms of the other!

Learn how to solve a system of equations where Dalvin and Fatoumata work together at a dry cleaner. Dalvin irons 10 shirts per hour, while Fatoumata irons 20 shirts per hour. Dalvin worked twice as many hours as Fatoumata, and together they ironed 200 shirts. This problem teaches key algebraic concepts and systems of equations, suitable for Grades 8-10.

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