Answer:
The 26% solution should she use is explained below in detailed explanation.
Step-by-step explanation:
Assumed there be 10 percent of x liters of acid solution
Assumed there be 26 percent of y liters of acid solution
provided Information
A chemist needed to combine a 10 percent acid solution with a 26 percent acid solution to obtain 16 liters of a 14 percent acid solution
So, ( 10 / 100 )*x + ( 26 / 100 )*y = ( 14 / 100 )*16
=> 0.1*x + 0.26*y = 0.14*16
=> 0.1*x + 0.26*y = 2.24 ....................... eq 1
x + y = 16 ......................... eq 2
Multiply ( 0.1 ) in both side in eq 2
=> 0.1*x + 0.1*y = 0.1*16
=> 0.1*x + 0.1*y = 1.6 ......................... eq 3
Subtract eq 3 from eq 1
0.1*x - 0.1*x + 0.26*y - 0.1*y = 2.24 - 1.6
=> 0.16*y = 0.64
=> x = 0.64 / 0.16
=> y = 4
So, 4 liters of 26% solution she should utilized
