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Can you explain step by step for #15 and #16 I have a test on this tomorrow

Can you explain step by step for #15 and #16 I have a test on this tomorrow-example-1
User Karakfa
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1 Answer

2 votes

Answer:

15.


\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. 10 ml of 20% saline and 40 ml of 10% saline

Explanation:

A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes

x + y ml that is 50 ml, so


x + y = 50.

There are
0.2x ml of salt in x ml of 20% saline and
0.1y ml of salt in 10% saline. There are
0.12\cdot 50=6 ml of salt in 50 ml of 12% saline. Thus,


0.2x+0.1y=6

15. We get the system of two equations:


\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. Solve this system. From the first equation:


x=50-y

Substitute it into the second equation:


0.2(50-y)+0.1y=6\\ \\10-0.2y+0.1y=6\\ \\-0.1y=6-10\\ \\-0.1y=-4\\ \\y=40\\ \\x=50-y=50-40=10

User Stbrody
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