SOLUTION: Linda needs 10 gallons of solution that is 60% antifreeze. She has a solution
that is 90% antifreeze and another that is 50% antifreeze. How much of each
should she use?
Algebra.Com
Question 1180731: Linda needs 10 gallons of solution that is 60% antifreeze. She has a solution
that is 90% antifreeze and another that is 50% antifreeze. How much of each
should she use?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39615) (Show Source): You can put this solution on YOUR website!
----------------------------------------------------------
Linda needs 10 gallons of solution that is 60% antifreeze. She has a solution
that is 90% antifreeze and another that is 50% antifreeze. How much of each
should she use?
--------------------------------------------------------------
If v gallons of the 90% then 10-v gallons of the 50%
pure antifreeze account!
for the 90%
-
for the 50%
For ANY such general two-part mixture percents problem
-------------------------------------------------------------------------------
Linda needs M gallons of solution that is T% antifreeze. She has a solution
that is H% antifreeze and another that is L% antifreeze. How much of each
should she use?
-------------------------------------------------------------------------------
v for the H% material
M-v for the L% material
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!
If a formal algebraic solution is not required, here is a fast and easy path to solving any two-part mixture problem like this.
(1) The target 60% is 10/40=1/4 of the way from 50% to 90%. (Picture the three percentages 50, 60, and 90 on a number line, if it helps. 60 is 10/40 = 1/4 of the way from 50 to 90.)
(2) That means 1/4 of the 10-gallon mixture should be the 90% antifreeze.
ANSWER: 1/4 of 10 gallons, of 2.5 gallons, of the 90% antifreeze, and the other 7.5 gallons of 50% antifreeze.
CHECK:
.50(7.5)+.90(2.5)=3.75+2.25=6
.60(10)=6
RELATED QUESTIONS
how many gallons of a 90% antifreeze solution must be mixed with 60 gallons of 10%... (answered by stanbon)
How many gallons of a 90% antifreeze solution must be mixed with 60 gallons of 10%... (answered by nshah11)
how many gallons of 90 percent antifreeze solution must be mixed with 100 gallons of 10... (answered by josmiceli)
how many gallons of a 60% antifreeze solution must be mixed with 90 gallons of 30%... (answered by stanbon)
how many gallons of a 90% antifreeze solution must be mixed with 60 gallons of 30%... (answered by stanbon)
How many gallons of a 90% antifreeze solution must be mixed with 60 gallons of 25%... (answered by josgarithmetic)
How many gallons of a 90% antifreeze solution must be mixed with 60% gallons of 15%... (answered by jorel1380)
How many gallons of a 60% antifreeze solution must be mixed with 90 gallons of 25%... (answered by Theo)
How many gallons of 70% antifreeze solution must be mixed with 90 gallons of 25%... (answered by oberobic)