# SOLUTION: In a certain medical test designed to measure carbohydrate tolerance, an adult drinks 3 ounces of a 80% glucose solution. When the test is administered to a child, the glucose conc

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 Question 499220: In a certain medical test designed to measure carbohydrate tolerance, an adult drinks 3 ounces of a 80% glucose solution. When the test is administered to a child, the glucose concentration must be decreased to 50%. How much 80% glucose solution and how much water should be used to prepare 3 ounces of 50% glucose solution? Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!In solving mixture problems, you have to determine how much "pure" stuff you need. . For adults and children, you need 3 oz of fluid. . The child's the solution must be 50% glucose. So, the child's 3 oz will need to have 1.5 oz of "pure" glucose and 1.5 oz of other stuff (likely water, but it doesn't matter). . You have on hand 80% solution. So for each oz you have .8 oz of glucose. To get 1.5 oz of pure glucose, you need: .8x = 1.5 8x = 15 x = 15/8 x = 1 7/8 oz of the 80% solution . You need 3 oz in total, so add 1 1/8 oz of water to 1 7/8 oz of of the 80% glucose solution to produce 3 oz of 50% solution. . Done.