SOLUTION: A 5 gallon radiator containing a mixture of water and antifreeze was supposed to contain a 50% antifreeze solution. When tested, it was found to have only 40% antifreeze. How much

Question 106238: A 5 gallon radiator containing a mixture of water and antifreeze was supposed to contain a 50% antifreeze solution. When tested, it was found to have only 40% antifreeze. How much must be drained out and replaced with pure antifreeze so that the radiator will contain the desired 50% antifreeze.

thank u for sparing time for my problem...thanks....
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=amount that needs to be drained and replaced with pure antifreeze
Now we know that the amount of pure antifreeze left after we drain x amount out (0.40(5-x))plus the amount of pure antifreeze added (x) has to equal the amount of pure antifreeze in the final mixture (0.50*5). So our equation to solve is:
0.40(5-x)+x=0.50*5 get rid of parens and simplify
2-0.40x+x=2.5 subtract 2 from both sides
2-2-0.40x+x=2.5-2 collect like terms
0.60x=0.5 divide both sides by 0.60
x=0.833333-- gal----------amount that needs to be drained and replaced with pure antifreeze
CK
0.40(5-0.83333333333)+0.8333333333333=2.5
1.666666666666+0.8333333333333333333=2.5
~2.5=2.5

Hope this helps----ptaylor
RELATED QUESTIONS
A 5 gallon radiator containing a mixture of water and antifreeze solution. When tested ,... (answered by josgarithmetic)

A mixture of water and antifreeze in a car is 10% antifreeze. In colder climates this... (answered by stanbon)

A radiator can contain 6 gallons of liquid water and antifreeze. How many gallons of... (answered by josgarithmetic,lwsshak3,MathTherapy)

A car radiator holds 2 gallons of fluid and initially is empty. If a mixture of water... (answered by rwm)

radiator holds 5 gallons. The coolant in the radiator is a mixture of antifreeze and... (answered by ankor@dixie-net.com)

A radiator contains 8 liters of mixture of water and antifreeze. If 40% of the mixture is (answered by ankor@dixie-net.com)

the radiator of an automobile has a capacity of 16 quarts. it is presently filled with a... (answered by josgarithmetic)

the radiator of an car has a capacity of 16 quarts. it is presently filled with a 20%... (answered by josgarithmetic)

A mechanic is working on a car with a 20-qt radiator containing a 60% antifreeze... (answered by checkley71)