Salesman A Shoe Sales Calculation

The question asks for the number of Nike shoes sold by Salesman A on Wednesday. We are given the ratio of Adidas shoes to Nike shoes sold is 3:4. The correct answer provided is 32 Nike shoes.

Ratio Analysis

Let the number of Adidas shoes sold be $3x$ and the number of Nike shoes sold be $4x$, where $x$ is a common multiplier.

The total number of shoes sold is the sum of Adidas and Nike shoes: Total Shoes = $3x + 4x = 7x$.

Determining the Number of Nike Shoes

We know the number of Nike shoes sold corresponds to the '4' part of the ratio. Using the correct answer provided:

• Number of Nike shoes = $4x$
• Given Correct Answer for Nike shoes = 32
• Therefore, we set $4x = 32$.

Solving for $x$: $x = \frac{32}{4}$ $x = 8$.

Final Calculation Check

With $x = 8$: Number of Adidas shoes = $3x = 3 \times 8 = 24$. Number of Nike shoes = $4x = 4 \times 8 = 32$. Total shoes sold = $24 + 32 = 56$.

The ratio of Adidas to Nike shoes is $24:32$, which simplifies to $3:4$. This confirms the calculation based on the provided correct answer.

Thus, the number of Nike brand shoes sold by A on Wednesday is 32.