This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
40 + 4.50p = 112
Step 1: Write the equation. Roger's total daily earnings are the sum of his daily wage and his commission from selling shoes. Let be the number of pairs of shoes Roger sells. His daily wage is 4.50 per pair of shoes, so for pairs, it is . His daily earnings goal is $112.
The equation is: The equation to determine how many pairs of shoes, , Roger must sell is:
Step 2: Find the number of pairs of shoes. Subtract 40 from both sides of the equation: $$4.50p = 112 - 40$$ $$4.50p = 72$$ Divide both sides by 4.50$: Roger must sell 16 pairs of shoes to meet his daily earnings goal.
The number of pairs of shoes he must sell is: Send me the next one 📸
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Write the equation. Roger's total daily earnings are the sum of his daily wage and his commission from selling shoes.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.