document.write( "Question 1174237:  A substance is 90% water. Some water evaporates, leaving a substance that is 80% water. What percent of the water evaporated? Omit the % sign, and express your answer as a decimal to the nearest tenth.
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| Algebra.Com's Answer #799640 by greenestamps(13209)     You can put this solution on YOUR website! \n" ); document.write( "The original substance was 90% water, or 9/10 water; so the ratio of water to other material was 9:1. \n" ); document.write( "After some water was evaporated so that the substance was 80% water, or 4/5 water, the ratio of water to other material was 4:1. \n" ); document.write( "The amount of other material did not change. So the ratio of amounts of water in the substance after evaporation to the amount in the original substance was 4:9. That means 5/9 of the water in the original substance evaporated. \n" ); document.write( "You can do the calculation and round the answer as directed. \n" ); document.write( "It's a lot easier (to me, anyway) if we just put some numbers to the problem. \n" ); document.write( "Suppose we start with 10 units of the substance; 9 units are water and 1 unit is something else. \n" ); document.write( "When water is evaporated so that the substance is 80% water, that 1 unit of something else is now 20% of the substance. That means there are 5 units of the substance remaining, so 4 units are water. \n" ); document.write( "We started with 9 units of water and finished with 4 units; 5 units evaporated. \n" ); document.write( "Since 5 of the 9 units evaporated, the percent of water that evaporated is 5/9, converted to a percent. \n" ); document.write( "Again I leave the simple calculations to you. \n" ); document.write( " \n" ); document.write( " |