SOLUTION: how much of a 10% syrup solution should be added to 2 litres of a 30% syrup solution to get a 20% syrup solution

Question 821079: how much of a 10% syrup solution should be added to 2 litres of a 30% syrup solution to get a 20% syrup solution
Found 2 solutions by stanbon, TimothyLamb:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
how much of a 10% syrup solution should be added to 2 litres of a 30% syrup solution to get a 20% syrup solution
--------------
Equation:
active + active = active
0.10x + 0.30*2 = 0.20(x+2)
-------
10x + 30*2 = 20x + 20*2
-----------------
10x = 10*2
----
x = 2 litres (amt. of 10% solution needed)
----------------------------------------------
Cheers,
Stan H.
============
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
10x + 30(2) = 20(x + 2)
10x + 60 = 20x + 40
10x = 20
---
answer
x = 2 liters
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php

RELATED QUESTIONS
How much water should be added to 500 l of a 14% syrup solution to get a 10% syrup... (answered by stanbon)
a pharmacist has a 6% solution of cough syrup and a 14% solution of the same cough syrup. (answered by josgarithmetic)
How much water needs to be added to 1/2 pt. of syrup with 60% sugar solution to make it a (answered by lwsshak3)
How much 5% maple syrup and water mixture must be added to 100% maple syrup to produce 5... (answered by ankor@dixie-net.com)
How much 5% maple syrup and water mixture must be added to 100% pure maple syrup to... (answered by mananth)
30mL solution of a 1:6 syrup solution. I have a 50% syrup solution and 1:2000 soda... (answered by Alan3354)
Theophylline , an asthma medicine, is to be prepared from an elixir with a drug... (answered by KMST)
you need to prepare a 30 ml solution of a 1.6 syrup solution . You have on hand a 50%... (answered by josgarithmetic)
Mon wants to make 5 lbs of sugar syrup. How much sugar and water does he need... To make (answered by josmiceli)