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
Unit Rates 02E59F
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.