14. If it takes Ryan 7 hours to mow 4 lawns, then at that rate, how many lawns could he mow in 35 hours? ryan can mow 20 lawns in 35 hours

You're correct! Let's walk through the problem to confirm your answer. **Problem:** If Ryan takes 7 hours to mow 4 lawns, how many lawns can he mow in 35 hours at the same rate? **Solution:** 1. **Determine Ryan's mowing rate:** - Ryan mows 4 lawns in 7 hours. - To find the rate per hour: \[ \text{Rate} = \frac{4 \text{ lawns}}{7 \text{ hours}} \approx 0.571 \text{ lawns per hour} \] 2. **Calculate the number of lawns in 35 hours:** - Multiply the rate by the total time: \[ \text{Number of lawns} = 0.571 \times 35 \approx 20 \text{ lawns} \] - Alternatively, you can use proportional reasoning: \[ \frac{4 \text{ lawns}}{7 \text{ hours}} = \frac{x \text{ lawns}}{35 \text{ hours}} \] Cross-multiplying gives: \[ 7x = 4 \times 35 \\ 7x = 140 \\ x = \frac{140}{7} \\ x = 20 \] **Conclusion:** Ryan can mow **20 lawns** in 35 hours at the same rate. Great job on solving the problem correctly!