- Analyze Table 1: It consists of ten \(10\%\) segments, so \(60\%\) can be formed by summing six of these segments.
- Analyze Table 2: It consists of four \(25\%\) segments, and \(60\%\) is not a multiple of \(25\%\), making it unsuitable.
- Calculation: \(60\%\) of \(320 = 0.6 \times 320 = 192\).
- Final Answer: Jaime should use Table 1. \(\boxed{\text{Table 1}}\)
Explanation
- Analyzing the Tables
Jaime wants to calculate \(60\%\) of \(320\). To do this using the provided tables, he needs to be able to represent \(60\%\) as a combination of the percentages given in the columns.
Table 1 provides ten columns, each representing \(10\%\). We can see that \(60\%\) is a multiple of \(10\%\), specifically \(6 \times 10\% = 60\%\). Therefore, by summing the values corresponding to six of these columns, Jaime can accurately find \(60\%\) of the total \(320\).
Table 2 provides four columns, each representing \(25\%\). To check if this table works, we test if \(60\%\) is a multiple of \(25\%\). Dividing \(60\) by \(25\) gives \(2.4\), which is not an integer. Since Jaime cannot form \(60\%\) by simply adding whole columns of \(25\%\), this table is not suitable for this purpose.
- Calculation and Conclusion
To calculate \(60\%\) of \(320\), we perform the multiplication:
\[0.60 \times 320 = 192.\]
Since Table 1 contains columns of \(10\%\), Jaime can take the value of one column (which is \(320 \times 0.10 = 32\)) and multiply it by \(6\):
\[6 \times 32 = 192.\]
This matches our required result. Thus, Table 1 is the correct tool to use.
Examples
Imagine you are at a store and there is a sale. A shirt costs \(\$320\), and you have a coupon for a \(60\%\) discount. If you only have coupons that offer \(10\%\) off each, you can use six of those coupons to get the full \(60\%\) discount. Similarly, in this problem, using a table composed of \(10\%\) segments allows you to easily calculate specific percentage portions of a total value. This method of breaking down large percentages into smaller, uniform parts is a practical skill for budgeting and managing discounts.