Subjects algebra

Fruit Salad Ratios D93E4F

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1. **State the problem:** We have 7 cups of kiwis and 3 cups of bananas in a fruit salad. 2. **Part-to-part ratio of bananas to kiwis:** This ratio compares the amount of bananas to kiwis directly. $$\text{Bananas : Kiwis} = 3 : 7$$ 3. **Part-to-whole ratio of bananas to total fruit salad:** Total fruit salad cups = bananas + kiwis = $3 + 7 = 10$ cups. $$\text{Bananas : Total} = 3 : 10$$ 4. **Proportion of bananas to the whole as a fraction in simplest terms:** $$\frac{\text{Bananas}}{\text{Total}} = \frac{3}{10}$$ Since 3 and 10 have no common factors other than 1, the fraction is already in simplest form. **Final answers:** - Part-to-part ratio (bananas to kiwis): $3 : 7$ - Part-to-whole ratio (bananas to total): $3 : 10$ - Proportion of bananas to whole (fraction): $\frac{3}{10}$