SOLUTION: A chemist has 5 gallons of salt solution with a concentration of 0.2 pounds per gallon and another solution with a concentration of 0.5 pounds per gallon. How many gallons of the s

Question 396601: A chemist has 5 gallons of salt solution with a concentration of 0.2 pounds per gallon and another solution with a concentration of 0.5 pounds per gallon. How many gallons of the stronger solution must be added to the weaker solution to get a solution that contains 0.3 pounds per gallon?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A chemist has 5 gallons of salt solution with a concentration of 0.2 pounds per gallon and another solution with a concentration of 0.5 pounds per gallon. How many gallons of the stronger solution must be added to the weaker solution to get a solution that contains 0.3 pounds per gallon?
------
Equation:
salt + salt = salt
0.2*5 + 0.5x = 0.3(5+x)
---
Multiply thru by 10 to get:
2*5 + 5x = 3*5+3x
2x = 1*5
x = 2.5 gallons (amt of stronger needed for the mixture)
==================
Cheers,
Stan H.

RELATED QUESTIONS
Salt Solution A chemist has 5gallons of salt solution with a concentration of 0.2pound... (answered by josmiceli)

A barrel contains 100 gallons of solution that initially has a concentration of 10 grams... (answered by josgarithmetic)

A chemist has a barrel with 15% salt solution and another barrel with a 24% salt... (answered by josgarithmetic,ikleyn,richwmiller)

A chemist has one solution that is 25% salt and 75% water and another solution that is... (answered by josmiceli)

A tank initially contains 100 gallons of a solution in which 50 pounds of salt are... (answered by ikleyn)

How many gallons of a 3% salt solution must be mixed with a 7% salt solution to obtain... (answered by solver91311)

How many gallons of a 5% salt solution must be mixed with 63 gallons of a 15% salt... (answered by josmiceli)

A chemist needs 3L of 60% salt solution. She has a 25% salt solution and 75% salt... (answered by josgarithmetic,MathTherapy)

how many gallons of a 2% salt solution must be mixed with 100 gallons of a 8% salt... (answered by fractalier)