Subjects algebra

Unit Rates 02E59F

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1. **State the problem:** (a) A color printer prints 20 pages in 7 minutes. We need to find how many pages it prints per minute. (b) Christine bought 5 pounds of flour for 3 dollars. We need to find how many dollars she paid per pound of flour. 2. **Formula for unit rate:** Unit rate = \frac{\text{total quantity}}{\text{total time or amount}} This means dividing the total amount by the number of units to find the amount per one unit. 3. **Solve part (a):** Pages per minute = \frac{20 \text{ pages}}{7 \text{ minutes}} = \frac{20}{7} Show canceling if possible: $$\frac{\cancel{20}}{\cancel{7}}$$ (no common factors to cancel) Calculate decimal: $$\frac{20}{7} \approx 2.8571$$ Rounded to the nearest hundredth: $$2.86$$ pages per minute. 4. **Solve part (b):** Dollars per pound = \frac{3 \text{ dollars}}{5 \text{ pounds}} = \frac{3}{5} Show canceling if possible: $$\frac{\cancel{3}}{\cancel{5}}$$ (no common factors to cancel) Calculate decimal: $$\frac{3}{5} = 0.6$$ So, Christine paid 0.6 dollars per pound of flour. **Final answers:** (a) 2.86 pages per minute (b) 0.6 dollars per pound