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liberstina [14]
3 years ago
13

If 15x + 12y = 90 then 5x + 4y = ?

Mathematics
2 answers:
vivado [14]3 years ago
8 0

Answer:

30

Step-by-step explanation:

this is common sense

15x + 12y = 90

dividing throughout by 3, we would have

5x + 4y = 30

or

by equating

15x + 12y - 90=5x + 4y -30

15x -5x = 4y -12y -30 + 90

10x=60-8y

dividing throughout by 2

5x= 30-4y

5x+4y= 30

Lunna [17]3 years ago
5 0

Answer:

30

Step-by-step explanation:

15x+12y=90

Divide by 3

5x+4y=30

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Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite
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Answer:

  1. <em>0.75</em><em> liters of 5% hydrochloric acid solution </em>
  2. <em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

x+y=1

i.e x=1-y --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

0.05x+0.45y=1\times 0.15

i.e 5x+45y=15 -------------2

Putting value of x from equation 1 in equation 2,

\Rightarrow 5(1-y)+45y=15

\Rightarrow 5-5y+45y=15

\Rightarrow 5+40y=15

\Rightarrow 40y=15-5=10

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