1. The problem states that Courtney's summer camp has 2 canoes for every 5 campers, and there are 70 campers in total. We need to find the proportion that correctly represents this situation to calculate the number of canoes, $x$.
2. The ratio of canoes to campers is $\frac{2}{5}$, meaning 2 canoes per 5 campers.
3. To find the number of canoes for 70 campers, we set up a proportion where $\frac{2}{5} = \frac{x}{70}$, because the ratio of canoes to campers should be the same.
4. Cross-multiplying gives:
$$2 \times 70 = 5 \times x$$
$$140 = 5x$$
5. Dividing both sides by 5 to solve for $x$:
$$\frac{\cancel{140}}{\cancel{5}} = \frac{5x}{5}$$
$$28 = x$$
6. Therefore, there are 28 canoes at the camp.
7. Among the given options, the correct proportion to calculate the number of canoes is:
$$\frac{2}{5} = \frac{x}{70}$$
Since the user’s options use $x$ in the denominator, we rewrite $\frac{x}{70}$ as $\frac{70}{x}$ and check which matches the correct proportion.
8. The correct proportion from the options is $\frac{2}{5} = \frac{70}{x}$, which corresponds to the green rectangle.
Final answer: The correct proportion is $\frac{2}{5} = \frac{70}{x}$ and the number of canoes is $28$.
Canoe Camp Proportion E32Ac8
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