Use equivalent ratios to complete the table.

\begin{tabular}{|l|c|c|c|c|}
\hline
Campers & 7 & 14 & 28 & 42 \\
\hline
Adults & 1 & 2 & 4 & 6 \\
\hline
\end{tabular}

Next week, there will be 63 campers. How many adults will there be next week? Show your work.



Answer :

To solve this problem, we need to determine the number of adults required for 63 campers based on the information provided in the table. The values provided for some entries in the table seem inconsistent, so we'll need to recalculate a consistent ratio.

First, let's analyze the consistent ratios given correctly:

For 7 campers, there is exactly 1 adult.
For 14 campers, there are exactly 2 adults.

We can use these values to find the campers-to-adults ratio:

1 adult for 7 campers.
2 adults for 14 campers, which simplifies to 1 adult for 7 campers (since 2/14 = 1/7).

The correct and consistent ratio expressed is 1 adult for every 7 campers.

Now, using this consistent ratio, we have:

1 adult per 7 campers.

Next, let's determine the number of adults needed for each of the given numbers of campers in the table.

- For 28 campers:
[tex]\[ \frac{28}{7} = 4 \text{ adults} \][/tex]

- For 42 campers:
[tex]\[ \frac{42}{7} = 6 \text{ adults} \][/tex]

- Finally, let's compute the number of adults required for 63 campers:
[tex]\[ \frac{63}{7} = 9 \text{ adults} \][/tex]

Thus, for 63 campers there need to be 9 adults next week.