SOLUTION: Automotive maintenance. The radiator in Natalie’s car contains 6.3 L of antifreeze and water. This mixture is 30% antifreeze. How much of this mixture should she drain and replace

Algebra ->  Systems-of-equations -> SOLUTION: Automotive maintenance. The radiator in Natalie’s car contains 6.3 L of antifreeze and water. This mixture is 30% antifreeze. How much of this mixture should she drain and replace       Log On


   



Question 532301: Automotive maintenance. The radiator in Natalie’s car contains 6.3 L of antifreeze and water. This mixture is 30% antifreeze. How much of this mixture should she drain and replace with pure antifreeze so that there will be a mixture of 50% antifreeze?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = liters of mixture she should
drain and replace with pure antifreeze
-----------
given:
+.3x+ = liters of pure antifreeze that
she drains off
+.3%2A%28+6.3+-+x+%29+ = pure antifreeze left after
she drains off +x+ liters of mixture
-----------
+%28+.3%2A%28+6.3+-+x+%29+%2B+x+%29+%2F+6.3+=+.5+
+%28+1.89+-+.3x+%2B+x+%29+%2F+6.3+=+.5+
+1.89+%2B+.7x+=+.5%2A+6.3+
+.7x+=+3.15+-+1.89+
+.7x+=+1.26+
+x+=+1.8+
She must drain off 1.8 liters and replace with pure antifreeze
check:
+%28+.3%2A%28+6.3+-+x+%29+%2B+x+%29+%2F+6.3+=+.5+
+%28+.3%2A%28+6.3+-+1.8+%29+%2B+1.8+%29+%2F+6.3+=+.5+
+%28+.3%2A4.5+%2B+1.8+%29+%2F+6.3+=+.5+%7D%7D%0D%0A%7B%7B%7B++1.35+%2B+1.8++=+.5%2A6.3+
+3.15+=+3.15+
OK