How many gallons of 60% antifreeze solution must be mixed with 60 gallons of 25% antifreeze to get a mixture that is 50% antifreeze?

You need ___ gallons.

Question

How many gallons of 60% antifreeze solution must be mixed with  60 gallons of 25% antifreeze to get a mixture that is 50% antifreeze?

You need ___ gallons.

mertsj · Answer

.6x+.25(60)=.5(60+x)

anonymous · Answer

Can you explain how you made that equation??

mertsj · Answer

x is the number of gallons of 60% antifreeze to add.  60 gallons is the amount of antifreeze he is going to add it to.  x + 60 is therefore the total number of gallons of antifreeze they will end up with.

Tell me if you understand so far.

anonymous · Answer

yes continue

mertsj · Answer

The amount of antifreeze in x gallons of 60 percent solution is .60x

Do you understand that?

anonymous · Answer

Yep, Go on...

mertsj · Answer

Likewise the amount of antifreeze in 60 gallons of 25% solution is .25(60)  and the amount of antifreeze in the final (60+x) gallons which is 50% antifreeze if .5(60+x)

mertsj · Answer

antifreeze you start with plus antifreeze added = antifreeze final

anonymous · Answer

Excellent explanation.!! Thanks..,

mertsj · Answer

yw