## Math Problem Statement

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.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Algebra

Systems of Equations

Linear Relationships

### Formulas

d = 2f (Dalvin worked twice as many hours as Fatoumata)

10d + 20f = 200 (Total shirts ironed by Dalvin and Fatoumata)

### Theorems

Substitution Method for Systems of Equations

### Suitable Grade Level

Grades 8-10

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