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Math is killing me :(/

Started by swiftmaker34 · · πŸ‘ 3 views · 3 replies

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Participants swiftmaker34mellowstag9
swiftmaker34 swiftmaker34 NewcomerOP
2 messages
joined Feb 2011
#1 ·
First off, hey everyone. I'm new here, so if I've posted this in the wrong section, please, admins, move it. πŸ™„
Here's my problem:
We were assigned this math task at school today-->
Two barrels combined hold 140 liters of wine. If you transfer 12.5% from the first barrel into the second, they'll both end up with the exact same amount. How many liters are in each barrel before the transfer happens?
I know it's a system of two linear equations. I'm certain the first one is x+y=140, but I'm totally stuck on the second. I'd be incredibly grateful if someone could solve this or at least help me set up that second equation. Thanks in advance 😁 😁
mellowstag9 mellowstag9 Newcomer
2 messages
joined Feb 2011
#2 ·
The second equation would look like this:
125/1000*x+y=875/1000*x

πŸ™‚
mellowstag9 mellowstag9 Newcomer
2 messages
joined Feb 2011
#3 ·
Since I don't want to be lazy... here's the breakdown:

The second equation:
125/1000*x+y=875/1000*x
1/8*x+y=7/8*x
x+8y=7x
-6x+8y=0

So, the system looks like this:
x+y=140
-6x+8y=0

6x+6y=840
-6x+8y=0

=> 14y=840 => y=60

=> x=140-y=140-60=80
swiftmaker34 swiftmaker34 NewcomerOP
2 messages
joined Feb 2011
#4 ·
mellowstag9 said:Since I'm feeling particularly productive... here goes nothing:

Haha, thanks for the second equation. Tried tackling it myself and ended up with the exact same mess you did.

Big thanks to πŸ‘πŸ‘ πŸ™πŸ™πŸ™πŸ™πŸ™

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