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adell [148]
3 years ago
6

How many liters of 60% alcohol solution should be added to 40 liters of a 20% alcohol solution to make a 50% solution?

Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0

Answer:

120 liters of 60% alcohol solution is needed

Step-by-step explanation:

Let's assume

x liters of 60% alcohol solution  is added

so, we  get solution as

=\frac{60}{100}\times x

=0.6x

we are given

40 liters of a 20% alcohol solution is

=40\times\frac{20}{100}

=40\times\frac{20}{100}

=8

so, total alcohol solution is

=8+0.6x

now, we can find total solutions

total solutions is

=x+40

now, it is making 50% solution

so, we get

\frac{8+0.6x}{x+40} =\frac{50}{100}

now, we can solve for x

\left(8+0.6x\right)\cdot \:100=\left(x+40\right)\cdot \:50

800+60x=50x+2000

10x=1200

x=120

So,

120 liters of 60% alcohol solution is needed

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