To find the predicted number of women's watches Adam would sell if he sells 280 watches, we start with the data from yesterday's sales.
Yesterday, Adam sold a total of 56 watches, out of which 25 were women's watches. To find the proportion of women's watches sold, we can calculate:
\[ \text{Proportion of women's watches} = \frac{\text{Number of women's watches}}{\text{Total number of watches sold}} = \frac{25}{56} \]
Now, if Adam sells 280 watches, we can use this proportion to predict the number of women's watches he would sell:
\[ \text{Predicted number of women's watches} = \text{Total watches sold} \times \text{Proportion of women's watches} \]
Calculating this gives:
\[ \text{Predicted number of women's watches} = 280 \times \frac{25}{56} \]
Calculating \( \frac{25}{56} \): \[ \frac{25}{56} \approx 0.4464 \]
Now multiply by 280: \[ 280 \times 0.4464 \approx 125 \]
Thus, if Adam sells 280 watches, he would predictably sell approximately 125 women's watches. So, the answer is 125.