Question

a horse’s water trough holds a total of 520 quarts of water when full. approximately how many 5 - gallon buckets of water will fill the trough?
options:
25 buckets
50 buckets
100 buckets
125 buckets

Explanation:

Step1: Convert quarts to gallons

We know that 1 gallon = 4 quarts. So, to convert 520 quarts to gallons, we use the conversion formula: gallons = quarts / 4. So, \( \frac{520}{4} = 130 \) gallons. But wait, maybe there's a miscalculation? Wait, no, let's check again. Wait, the trough holds 520 quarts. So 520 quarts divided by 4 quarts per gallon is 130 gallons. But the buckets are 5 - gallon buckets. Wait, but the options are 25, 50, 100, 125. Wait, maybe I made a mistake. Wait, maybe the trough is 520 quarts? Wait, 520 quarts is 130 gallons. Then number of 5 - gallon buckets is 130 / 5 = 26. But that's not one of the options. Wait, maybe the trough is 520 gallons? No, the problem says quarts. Wait, maybe the problem has a typo, or maybe I misread. Wait, the options are 25, 50, 100, 125. Wait, maybe the trough is 520 gallons? No, the problem says quarts. Wait, 520 quarts is 130 gallons. 130 divided by 5 is 26, which is close to 25. So maybe the answer is 25 buckets. Wait, let's re - check.

Wait, 1 gallon = 4 quarts, so 5 gallons = 5 * 4 = 20 quarts per bucket. Then the number of buckets is total quarts / quarts per bucket = 520 / 20 = 26. So approximately 25 buckets.

Step2: Calculate number of buckets

We found that each 5 - gallon bucket holds 20 quarts (since 5 gallons * 4 quarts/gallon = 20 quarts). Then the number of buckets needed is 520 quarts / 20 quarts per bucket = 26. So approximately 25 buckets.

Answer:

25 buckets