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Liam and his twin sister, Lexi, are icing cupcakes for a school bake sale. Liam ices 8 vanilla cupcakes and 16 chocolate cupcakes. Lexi has less time, so she only ices 4 vanilla cupcakes and 8 chocolate cupcakes. At the bake sale, the vanilla cupcakes are more popular than the chocolate ones. Who iced a greater ratio of vanilla cupcakes to chocolate cupcakes?

Question

Liam and his twin sister, Lexi, are icing cupcakes for a school bake sale. Liam ices 8 vanilla cupcakes and 16 chocolate cupcakes. Lexi has less time, so she only ices 4 vanilla cupcakes and 8 chocolate cupcakes. At the bake sale, the vanilla cupcakes are more popular than the chocolate ones. Who iced a greater ratio of vanilla cupcakes to chocolate cupcakes?

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Solution

To answer this question, we need to calculate the ratio of vanilla cupcakes to chocolate cupcakes for both Liam and Lexi.

  1. For Liam, the ratio of vanilla cupcakes to chocolate cupcakes is 8:16. This ratio can be simplified by dividing both numbers by their greatest common divisor, which is 8. So, the simplified ratio for Liam is 1:2.

  2. For Lexi, the ratio of vanilla cupcakes to chocolate cupcakes is 4:8. This ratio can also be simplified by dividing both numbers by their greatest common divisor, which is 4. So, the simplified ratio for Lexi is 1:2.

Therefore, both Liam and Lexi iced the same ratio of vanilla cupcakes to chocolate cupcakes, which is 1:2.

This problem has been solved

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