1. **Problem:** Determine which ratios are correct based on the number of children riding bicycles and scooters at the park. 2. **Given:** - Total children: 15 - Children riding bicycles: 13 - Children riding scooters: 2 3. **Step 1: Understand ratios** A ratio compares two quantities showing how many times one value contains or is contained within the other. 4. **Step 2: Analyze each option** - A: Ratio of bicycles to scooters is 13 to 2. This is correct because 13 children ride bicycles and 2 ride scooters. - B: Ratio of scooters to children is 3 to 15. This is incorrect because scooters are 2, not 3. - C: Ratio of bicycles to children is 13 to 15. This is correct. - D: Ratio of scooters to children is 2 to 13. This is incorrect because total children are 15, not 13. - E: Ratio of bicycles to children is 13 to 15. This repeats option C and is correct. 5. **Final answer:** Correct ratios are A, C, and E. --- 1. **Problem:** Find the ratio of the number of pieces of fruit Haley buys to the total dollars she spends, and express it in at least two different ways. 2. **Given:** - Apples: 8 pieces for 5 dollars - Bananas: 3 pieces for 1 dollar 3. **Step 1: Calculate total pieces of fruit and total dollars spent** $$\text{Total pieces} = 8 + 3 = 11$$ $$\text{Total dollars} = 5 + 1 = 6$$ 4. **Step 2: Write the ratio of pieces of fruit to dollars spent** $$11 \text{ pieces} : 6 \text{ dollars}$$ 5. **Step 3: Express the ratio in fraction form and simplify if possible** $$\frac{11}{6}$$ 6. **Step 4: Express the ratio as dollars to pieces of fruit** $$6 : 11$$ --- 1. **Problem:** Determine who is correct about the ratio of singers to joke tellers in the talent show. 2. **Given:** - Singers: 6 - Dancers: 7 - Joke tellers: 2 3. **Step 1: Analyze Rick's statement** Rick says ratio of singers to joke tellers is 6 to 2, which is correct because there are 6 singers and 2 joke tellers. 4. **Step 2: Analyze Leah's statement** Leah says ratio of joke tellers to singers is 1 to 3. 5. **Step 3: Simplify the actual ratio of joke tellers to singers** $$\frac{2}{6} = \frac{\cancel{2} \times 1}{\cancel{2} \times 3} = \frac{1}{3}$$ 6. **Step 4: Conclusion** Leah is correct because the ratio of joke tellers to singers simplifies to 1 to 3. **Summary:** Rick is correct about singers to joke tellers ratio (6:2), and Leah is correct about joke tellers to singers ratio (1:3).