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3. The ratio of chocolate chip cookies to red velvet cookies is \( 5: 9 \). Select the statements that are true. (a) The ratio of red velvet cookies to chocolate chip cookies is 5:9. (b) The ratio of red velvet cookies to chocolate chip cookies is \( 9: 5 \). (c) The ratio of red velvet cookies to total cookies is \( 9: 14 \).

Ask by Carlson Reed. in the United States
Jan 25,2025

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Statements (b) and (c) are true.

Solución

Given the ratio of chocolate chip cookies to red velvet cookies is \( 5:9 \), let's evaluate each statement: **(a) The ratio of red velvet cookies to chocolate chip cookies is \( 5:9 \).** - **Evaluation:** This is incorrect. If the ratio of chocolate chip to red velvet is \( 5:9 \), then the ratio of red velvet to chocolate chip is the reciprocal, which is \( 9:5 \). **(b) The ratio of red velvet cookies to chocolate chip cookies is \( 9:5 \).** - **Evaluation:** This is correct. As explained above, the reciprocal of \( 5:9 \) is \( 9:5 \). **(c) The ratio of red velvet cookies to total cookies is \( 9:14 \).** - **Evaluation:** This is correct. The total number of cookies is \( 5 + 9 = 14 \). Therefore, the ratio of red velvet cookies to total cookies is \( 9:14 \). **Conclusion:** Statements **(b)** and **(c)** are true. **Answer:** Both statements (b) and (c) are true.

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Mind Expander

To clarify the ratio \( \frac{5}{9} \) of chocolate chip cookies to red velvet cookies, we can flip it to find the ratio of red velvet cookies to chocolate chip cookies, which is indeed \( \frac{9}{5} \). Thus, statement (b) is true! Also, to find the ratio of red velvet cookies to the total number of cookies, we first add the parts of the ratio: \( 5 + 9 = 14 \). The ratio of red velvet cookies (9 parts) to the total (14 parts) is \( 9:14 \), making statement (c) true as well. To sum up, the true statements are (b) and (c). But remember, statement (a) is incorrect! So when thinking ratios, it's always good to visualize or even draw them out. Ratios can be tricky, but once you get the hang of flipping and adding them up, they become a piece of cake—or cookie, in this case! For enhancing your understanding, playing with real-life examples, such as making cookies at home, could turn into a delicious math lesson. You can experiment with different ratios of ingredients and see how the taste changes—yum!

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