Subjects algebra

Customer Planning Ratios 635C43

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1. **Problem Q9:** Out of 200 customers, 80 are repeat customers and the rest are new customers. Write the ratio of repeat customers to new customers. 2. **Step 1:** Calculate the number of new customers. $$\text{New customers} = 200 - 80 = 120$$ 3. **Step 2:** Write the ratio of repeat customers to new customers. $$\text{Ratio} = \frac{80}{120}$$ 4. **Step 3:** Simplify the ratio by dividing numerator and denominator by their greatest common divisor (GCD), which is 40. $$\frac{\cancel{80}^{2 \times 40}}{\cancel{120}^{3 \times 40}} = \frac{2}{3}$$ 5. **Answer Q9:** The ratio of repeat customers to new customers is $2:3$. 6. **Problem Q10:** A manager spends 2 hours on planning and 6 hours on operations each day. Write the ratio of planning time to operations time. 7. **Step 1:** Write the ratio of planning time to operations time. $$\text{Ratio} = \frac{2}{6}$$ 8. **Step 2:** Simplify the ratio by dividing numerator and denominator by their GCD, which is 2. $$\frac{\cancel{2}^{1 \times 2}}{\cancel{6}^{3 \times 2}} = \frac{1}{3}$$ 9. **Answer Q10:** The ratio of planning time to operations time is $1:3$.