A chemist has 300 grams of 20% hydrochloric acid solution. He wishes to drain some and replace it with an 80% solution so as to obtain a 25% solution. How many grams must he drain and replace with the 80% solution?PLZ HELP I NEED IT FAST PLZ!!!!!!!!!!!!
Question
Answer:
The chemist has to drain 25 grams of the 20% hydrochloric acid solution and replace with the 80% solutionSolution:Let us first set up a table and fill in the known values givenThe table is attached belowLet "x" be the amount in grams for 20% acid solutionLet "y" be the amount in grams for 80% acid solutionFrom the given table, we can set up two equationsSum of values of two acids = Value of mixture 0.2x + 0.8y=75 For convenience, we'll multiply the entire equation by 10,
2 x + 8 y = 750x + 4y = 375 ------ eqn (1) Now, Sum of amounts of each acid = Amount of mixture x + y = 300 --------- eqn (2)
Subtracting equation (2) from (1), ( + ) x + 4 y = 375
( − ) x + y = 300
− − − − − − − −
( = ) 0 + 3y = 75 Thus, 3y = 75y = 25 Substituting y = 25 in eqn (2),x + 25 = 300x = 300 – 25 = 275
So, we have x = 275 and y = 25
Here "y = 25" represents amount in grams for 80% acid solution.We can conclude that he has to drain 25 grams of the 20% acid solution.
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