Question: LESSON 2 Unit Rates with Fractions Collaborative Activity: Revisiting Unit Rates Video Ratios are often expressed in the real world as an amount of "something per something." For example, in setting the world record, Joey Chestnut ate 7.4 hot dogs per minute. Work with your partner to complete the following. 1. In 2022, there were 22, 500 farms in West Virginia. The total amount of farmland was 3, 500, 000 acres. a. Write the ratio of acres : farms.

1. **State the problem:** We need to write the ratio of acres to farms given that there are $3,500,000$ acres and $22,500$ farms. 2. **Write the ratio:** The ratio of acres to farms is $$\frac{3,500,000}{22,500}$$. 3. **Simplify the ratio:** $$\frac{3,500,000}{22,500} = \frac{\cancel{3,500,000}}{\cancel{22,500}} \text{ (we will divide numerator and denominator by 500)}$$ Dividing numerator and denominator by 500: $$\frac{3,500,000 \div 500}{22,500 \div 500} = \frac{7000}{45}$$ 4. **Simplify further:** Divide numerator and denominator by 5: $$\frac{\cancel{7000}}{\cancel{45}} = \frac{7000 \div 5}{45 \div 5} = \frac{1400}{9}$$ 5. **Interpretation:** The ratio of acres to farms is $$\frac{1400}{9}$$, which means there are about $$155.56$$ acres per farm. **Final answer:** The ratio of acres to farms is $$\frac{1400}{9}$$ or approximately $$155.56:1$$.