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Brendan's older sisters, Angie and Alexa, are twins. For their graduation, he made each of them a bouquet of flowers. For Angie's bouquet, he used 6 lilies and 12 daisies. For Alexa's bouquet, he used 4 lilies and 14 daisies. Which bouquet had a lower ratio of lilies to daisies?

Question

Brendan's older sisters, Angie and Alexa, are twins. For their graduation, he made each of them a bouquet of flowers. For Angie's bouquet, he used 6 lilies and 12 daisies. For Alexa's bouquet, he used 4 lilies and 14 daisies. Which bouquet had a lower ratio of lilies to daisies?

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Solution

To determine which bouquet had a lower ratio of lilies to daisies, we need to calculate the ratio for each bouquet.

  1. For Angie's bouquet, the ratio of lilies to daisies is 6 to 12. This simplifies to 1 to 2 when we divide both numbers by their greatest common divisor, which is 6.

  2. For Alexa's bouquet, the ratio of lilies to daisies is 4 to 14. This simplifies to 2 to 7 when we divide both numbers by their greatest common divisor, which is 2.

Comparing the two ratios, 1 to 2 (Angie's bouquet) is lower than 2 to 7 (Alexa's bouquet). Therefore, Angie's bouquet had a lower ratio of lilies to daisies.

This problem has been solved

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