SOLUTION: A pharmacist mixed some 10%-saline solution with some 15%-saline solution to obtain 100 mL of a 12%-saline solution. How much of the 10%-saline solution did the pharmacist use in t

Algebra.Com
Question 606141: A pharmacist mixed some 10%-saline solution with some 15%-saline solution to obtain 100 mL of a 12%-saline solution. How much of the 10%-saline solution did the pharmacist use in the mixture?

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = ml of 10% solution needed
Let = ml of 15% solution needed
= ml of salt in 10% solution
= ml of salt in 15% solution
----------------
(1)
(2)
----------------
(1)
(1)
Multiply both sides of (2) by
and subtract (2) from (1)
(1)
(2)


and, since
(2)
(2)
(2)
(2)
60 ml of 10% solution is needed
check answer
(1)
(1)
(1)
(1)
OK


RELATED QUESTIONS

A pharmacist mixed some 10%-saline solution with some 15%-saline solution to obtain 100... (answered by venugopalramana)
A pharmacist mixed some 10%-saline solution with some 15%-saline solution to obtain 100... (answered by rwm)
A pharmacist mixed some 10%-saline solution with with some 15%-saline solution to obtain... (answered by Fombitz)
A pharmacist mixed some 10% saline solution with some 15% saline solution to obtain 100mL (answered by stanbon)
a pharmacist mixed some 10% saline solution with some 15% saline solution to obtain 100mL (answered by Deina)
a pharmacist mixed some 10% saline solution with some 15% saline solution to obtain 100... (answered by josgarithmetic)
a pharmacist mixed some 110% saline solution with some 15% saline solution to obtain... (answered by Deina)
im REALLY bad at word problems so im preparing for the cst with some of the old release... (answered by mananth)
A pharmacist mixed some 10%-saline solution with some 18%-saline solution to obtain 100... (answered by richwmiller)