Mrs alexandra made 4564 milliliters of orange juice. she mixed water and orange syrup to make the orange juice. the amount of water was 6 times the amount of syrup. how much more water than syrup was used?

There is one unit of syrup for every six units of water.  Therefore, 1/7 of the mixture will be syrup and 6/7 will be water.

With 4564 milliliters, there will thus be 652 milliliters of syrup and 3912 milliliters of water.

The difference between these is 3260 milliliters, so 3260 more milliliters of water will be used than syrup.