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Reed owns two used car lots, Quick Cars and Reliable Rides. He recently gathered data regarding the number of cars, trucks, and SUVs that he has at each lot. The results are shown in the two-way frequency table below.

\begin{tabular}{|l|c|c|c|c|}
\hline & Cars & Trucks & SUVs & Total \\
\hline Quick Cars & 48 & 22 & 36 & 106 \\
\hline Reliable Rides & 34 & 28 & 32 & 94 \\
\hline Total & 82 & 50 & 68 & 200 \\
\hline
\end{tabular}

Approximately what percentage of Reed's trucks are at Reliable Rides?

A. [tex]$14\%$[/tex]
B. [tex]$56\%$[/tex]
C. [tex]$78\%$[/tex]


Sagot :

To determine the percentage of Reed's trucks that are at Reliable Rides, follow these steps:

1. Identify the total number of trucks: From the table, we see that there are 50 trucks in total.

2. Identify the number of trucks at Reliable Rides: According to the table, Reliable Rides has 28 trucks.

3. Calculate the percentage of trucks at Reliable Rides: To find the percentage, divide the number of trucks at Reliable Rides by the total number of trucks, and then multiply the result by 100.

[tex]\[ \text{Percentage of trucks at Reliable Rides} = \left( \frac{\text{Number of Trucks at Reliable Rides}}{\text{Total Number of Trucks}} \right) \times 100 \][/tex]

4. Plug in the numbers:

[tex]\[ \text{Percentage of trucks at Reliable Rides} = \left( \frac{28}{50} \right) \times 100 \][/tex]

5. Perform the division and multiplication:

[tex]\[ \left( \frac{28}{50} \right) \times 100 = 56 \][/tex]

Thus, approximately 56% of Reed's trucks are at Reliable Rides.

So the correct answer is:
[tex]\[ 56 \% \][/tex]
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