Assuming you mean 12.6 fl oz, I guess you're American (using the oz abbreviation for fl oz), thus:
1 gal = 128 fl oz
→ 5 gal = 5 × 128 fl = 640 fl oz
→ 640 fl oz ÷ 12.6 fl oz ≈ 50.79
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Fill the 4 gal bucket and empty it into the 7 gal bucket. Fill the 4 gal bucket and then fill the 7 gal bucket from the 4 gal. This leaves 1 Gallon in the 4 gallon bucket. Empty the 7 gallon bucket and pour the gallon from the 4 gal lbucket into it. Fill the 4 gal bucket and pour it into the 7 gal bucket. You then have 5 gallons in the 7 gallon bucket.
One gallon is equivalent to 128 fluid ounces. Sugar weighs approximately 7.09 ounces per cup. Therefore, if a gallon jug can hold 128 fluid ounces, and each cup of sugar weighs 7.09 ounces, you would need approximately 18 cups of sugar to fill a gallon jug. This would be roughly 9.72 pounds of sugar.
# Start with empty buckets, and carry them to the well. # (Note that the larger is the 7-gallon bucket, and the smaller is the 4-gallon bucket.) # Fill the 4-gallon bucket with water to the top. # Empty all the water from the 4-gallon bucket into the 7-gallon bucket. # (Note that there is room in the 7-gallon bucket for exactly 3 more gallons.) # Fill the 4-gallon bucket again. # Pour from the 4-gallon bucket into the 7-gallon bucket all the water that will fit, spilling none. # (Note that since there was room for only 3 more gallons in the 7-gallon bucket, you now have 1 gallon left in the 4-gallon bucket.) # Dump out all the water from the 7-gallon bucket. (Pour it back into the well or onto some flowers so it's not wasted.) # Pour the 1 gallon of water that remains in the 4-gallon bucket into the empty 7-gallon bucket. # Refill the 4-gallon bucket completely. # Pour all the 4 gallons from the 4-gallon bucket into the 7-gallon bucket. # (Note that since the 7-gallon bucket had 1 gallon already and you added 4 gallons, you now have 5 gallons of water in the 7-gallon bucket!) # Bring back your 7-gallon bucket that's holding exactly 5 gallons of water. (Bring your 4-gallon bucket back too, in case you want to play again!)
The notation below gives the amount of liquid (in gallons) in the 5 gallon bucket followed by the 7 gallon bucket.Fill 5G bucket (5, 0)Empty 5G into 7G (0, 5)Fill 5G again (5, 5)Pour as much as possible from 5G into 7G (3, 7)Empty 7G (3, 0)Pour from 5G to 7G (0, 3)Fill 5G again (5, 3)Pour as much as possible from 5G into 7G (1, 7)Done - you have 1 gallon in the 5G bucket.
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