Please help!
2 answers:
Answer:
4 liters of 5% solution and 16 liters of 17.5% solution we need.
Step-by-step explanation:
Let us assume that x liters of 5% solution and y liters of 17.5% solution are taken.
So, x + y = 20 ........ (1)
As the final solution is of 15%, so we can write
⇒ 5x + 17.5y = 300 ......... (2)
Now, solving equations (1) and (2) we get,
17.5y - 5y = 200
⇒ 12.5y = 200
⇒ y = 16 liters
Hence, x = 20 - y = 4 liters.
Therefore, 4 liters of 5% solution and 16 liters of 17.5% solution we need. (Answer)
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Given:
Karen earns $54.60 for working 6 hours.
Amount she earns varies directly with the number of hours she works.
She need to work to earn an additional $260.
To find:
Number of hours she need to work to earn an additional $260.
Solution:
Let the amount of earnings be A and number of hours be t.
According to question,
...(i)
where, k is constant of proportionality.
Karen earns $54.60 for working 6 hours.
Divide both sides by 6.
Put k=9.1 in (i).
Substitute A=260 in the above equation.
Divide both sides by 9.1.
Therefore, she need to work extra about 29 hours to earn an additional $260.