how much water is in the smaller pool to the nearest gallon

the scale factor of two swimming pools is 4:7. the amount of a water in the larger pool is 36,300 gallons. how much water is in the smaller pool to the nearest gallon?
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1 Answer

The total capacity of the pools is 7+4=11 units, 4/11 is the capacity of the smaller pool and 7/11 the capacity of the larger pool=36300 gallons. So 36300/(total capacity)=7/11. Total capacity (11 units)=11×36300/7 gallons. 4/11 of this is the capacity of the smaller pool: =4×36300/7=145200/7=20743 gallons to the nearest gallon.

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