How many gallons of a 35% antifreeze solution and a 15% antifreeze solution must be mixed to obtain 30 gallons of a 27% antifreeze solution?

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How many gallons of a 35% antifreeze solution and a 15% antifreeze solution must be mixed to obtain 30 gallons of a 27% antifreeze solution?

Mathematics
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to solving this word problem i always start by naming what i'm looking for x or y or whatever variable
one approach |dw:1434988814478:dw|
so here I'm looking for how many gallons of two solutions i need name those gallons x for 35% one y for 15 % one the problem says i need to mix 35%x + 15%y=27% 30 and the x+y=30

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Other answers:

now that we turned that algebraic problem we can solve easily 0.35x+0.15y=8.1 x+y=30
use your skills in solving a system to solve this!
there are many ways to solve this like @triciaal did

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