Final answer:
Patrick can mow 20 lawns in 35 hours, using the rate of ⅗ lawns per hour determined from the given information that he mows 4 lawns in 7 hours.
Step-by-step explanation:
This is a rate problem where Patrick's mowing rate is given, and we're asked to determine how many lawns he could mow in a different number of hours at the same rate. If Patrick mows 4 lawns in 7 hours, we can calculate the number of lawns he mows per hour by dividing the number of lawns by the number of hours. This gives us ⅗ lawns per hour (approximately 0.57 lawns per hour). To find out how many lawns could be mowed in 35 hours, we multiply the rate of mowing lawns per hour by 35 hours.
Rate of mowing: ⅗ lawns per hour = 4 lawns / 7 hours ≈ 0.57 lawns/hour
Total lawns mowed in 35 hours:
4 lawns / 7 hours = ⅗ lawns per hour
⅗ lawns/hour × 35 hours = 4 lawns × 5 = 20 lawns
Therefore, at this rate, Patrick could mow 20 lawns in 35 hours.