Subjects algebra

Canoe Camp Proportion E32Ac8

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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 $28$.