Subjects algebra

Unit Rates Bbd621

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1. **Problem statement:** (a) Jose bought 14 pounds of sugar for 6 dollars. We need to find how many dollars he paid per pound of sugar. 2. **Formula:** Unit rate = \frac{\text{total cost}}{\text{total pounds}} 3. **Calculation:** $$\text{Unit rate} = \frac{6}{14}$$ 4. **Simplify the fraction:** $$\frac{6}{14} = \frac{\cancel{2} \times 3}{\cancel{2} \times 7} = \frac{3}{7}$$ 5. **Convert to decimal:** $$\frac{3}{7} \approx 0.428571...$$ 6. **Round to nearest hundredth:** $$0.43$$ 7. **Answer for (a):** Jose paid approximately 0.43 dollars per pound of sugar. --- 8. **Problem statement:** (b) Yolanda runs 4 miles in 28 minutes. We need to find how many minutes she takes per mile. 9. **Formula:** Unit rate = \frac{\text{total time}}{\text{total miles}} 10. **Calculation:** $$\text{Unit rate} = \frac{28}{4}$$ 11. **Simplify the fraction:** $$\frac{28}{4} = \frac{\cancel{4} \times 7}{\cancel{4}} = 7$$ 12. **Answer for (b):** Yolanda takes 7 minutes per mile.