Verified Answer :

  • Examine Table 1 and Table 2; Table 1 is invalid as \(30\%+30\%+30\% eq 100\%\).
  • Identify Table 2 as valid because \(25\%+25\%+25\%+25\% = 100\%\).
  • Calculate \(60\%\) of \(320\) using the valid structure: \(0.6 \times 320 = 192\).
  • Conclude that Table 2 is the correct choice, with a result of \(\boxed{192}\).

Explanation

  1. Analyzing the Tables

We are asked to determine which table Mr. Jaime should use to find \(60\%\) of \(320\).

First, we analyze the structure of the provided tables:

  • Table 1 contains three columns, each representing \(30\%\). The sum of these parts is \(30\% + 30\% + 30\% = 90\%\). Since the total must be \(100\%\), this table is mathematically incorrect because the parts do not add up to the whole.
  • Table 2 contains four columns, each representing \(25\%\). The sum of these parts is \(25\% + 25\% + 25\% + 25\% = 100\%\). This table accurately partitions the total percentage into equal parts, making it a reliable tool for calculations.
  1. Calculating the Percentage

Since Table 2 is the only structurally sound option, we use it to find \(60\%\) of \(320\). To find the value, we calculate:
\[ 60\% \times 320 = 0.6 \times 320 \]
Multiplying these values:
\[ 0.6 \times 320 = 192 \]
Thus, \(60\%\) of \(320\) is \(192\). Table 2 allows for a consistent representation of these portions, whereas Table 1 fails to account for the full total.

  1. Conclusion

Mr. Jaime should use the table with four columns (Table 2), as it correctly represents the whole percentage (\(100\%\)). Using this table, we find the value of \(60\%\) of \(320\) to be \(\boxed{192}\).

Examples

Understanding how to correctly partition a total percentage is essential in everyday tasks, such as budgeting or distributing resources. For example, if you have a monthly budget of \(\$1{,}000\) and need to allocate funds into different categories, ensuring that your percentage parts (like rent, food, and savings) sum to \(100\%\) is critical to keeping your finances balanced and accurate. Proper partitioning allows for easy calculation of specific budget items.

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