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How many litres of 35 % sugar solution should be added to a 17 % sugar solution to obtain 72 litres of 2t % sugar solution
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How many litres of 35 % sugar solution should be added to a 17 % sugar...
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How many litres of 35% sugar solution should be added to a 17% sugar solution to obtain 72 litres of 25% sugar solution?
if
x = Liters of the 35% sugar solution
y = Liters of the 17% sugar solution
 
0.35x + 0.17y = 0.25(72 L)
 x + y = 72 L
subtract x from both sides
 y = 72 - x
substitute this in for y
 0.35x + 0.17(72 - x) = 0.25(72)
 0.35x + 12.24 - 0.17x = 18
combine like terms
 0.18x + 12.24 = 18
subtract 12.24 from both sides
 0.18x = 5.75
divide by 0.18 on both sides
 
x = 32 L of the 35% sugar
 
remember
x + y = 72 L
 
plug in x = 32
32 + y = 72
solve for the volume 0.17 % sugar
 
y = 40 L of the 17% sugar
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How many litres of 35 % sugar solution should be added to a 17 % sugar solution to obtain 72 litres of 2t % sugar solution
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How many litres of 35 % sugar solution should be added to a 17 % sugar solution to obtain 72 litres of 2t % sugar solution for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about How many litres of 35 % sugar solution should be added to a 17 % sugar solution to obtain 72 litres of 2t % sugar solution covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many litres of 35 % sugar solution should be added to a 17 % sugar solution to obtain 72 litres of 2t % sugar solution.
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