Answer:
26 Buckets
Explanation:
To find the minimum number of buckets needed to fill the pool, we can set up the following inequality:
5 1/2 + x * 1 1/4 >= 35
Then, we can simplify the inequality to obtain:
11/2 + 5/4 * x >= 35
Multiplying both sides of the inequality by 4/4 and simplifying, we obtain:
11 + 5x >= 140
Subtracting 11 from both sides, we obtain:
5x >= 129
Dividing both sides by 5, we obtain:
x >= 25 3/5
Thus, the minimum number of buckets needed to fill the pool is x >= 25 3/5, or approximately 26 buckets.