Heston Wagons reported in June that 20 out of 500 wagons failed inspection. In July, they reported that 25 out of 625 wagons failed inspection. Which proportion can be used to represent the wagon failures?

Answer 1

To find the proportion of wagon failures for both June and July, we can use the formula for the proportion, which is given by:

\[ \text{Proportion of failures} = \frac{\text{Number of failures}}{\text{Total number of wagons}} \]

For June:

• Number of failures = 20
• Total number of wagons = 500

\[ \text{Proportion of failures in June} = \frac{20}{500} = 0.04 \]

For July:

• Number of failures = 25
• Total number of wagons = 625

\[ \text{Proportion of failures in July} = \frac{25}{625} = 0.04 \]

Both months have the same proportion of wagon failures, which is 0.04.

Thus, the proportion that can be used to represent the wagon failures is \(0.04\) or \(4%\).