SOLUTION: a solution of 63% vinegar is to be mixed with a solution of 28% vinegar to form 70 liters of a 47% solution. How many liters of the 63% solution be used?

Question 571063: a solution of 63% vinegar is to be mixed with a solution of 28% vinegar to form 70 liters of a 47% solution. How many liters of the 63% solution be used?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a solution of 63% vinegar is to be mixed with a solution of 28% vinegar to form 70 liters of a 47% solution. How many liters of the 63% solution be used?
------------------------------
Equation:
0.63x + 0.28(70-x) = 0.47*70
------
Multiply thru by 100 to get:
63x + 28*70 - 28x = 47*70
25x = 19*70
x = 53.2 liters (amt of 63% solution needed)
===========================
Cheers,
Stan H.
==================
RELATED QUESTIONS
A solution of 49% vinegar is to be mixed with a solution of 32% vinegar to form 153... (answered by nerdybill)

A solution of 77% vinegar is mixed with a solution of a 25% vinegar to form 312 liters of (answered by stanbon)

I don't understand how to create an algebraic formula to answer this question: A... (answered by stanbon)

A solution of 60% vinegar is to be mixed with a solution of 25% vinegar to form 245... (answered by josgarithmetic)

Household cleaners: as a cleaning agent a solution that had is 28% vinegar is often used. (answered by Boreal)

How many liters of pure water must be mixed with 1 liter of a 5% vinegar solution to give (answered by macston,Alan3354)

If 4 liters of a 15% vinegar solution is mixed with x liters of a 30% vinegar solution,... (answered by amoresroy,math_tutor2020)

how much of a 15 vinegar solution should be added to a 35% vinegar soultion to make 12... (answered by josgarithmetic)

how many millilitres of vinegar must be added to 20 millilitres of a 10%-vinegar... (answered by checkley79)