SOLUTION: 1 ft cubic squared of silt was mixed into 5 ft cubic square of soil containing 10% silt. What is the silt content of the mixture ? A) 8% B) 25% C) 20% D) 10%

Question 1098990: 1 ft cubic squared of silt was mixed into 5 ft cubic square of soil containing 10% silt. What is the silt content of the mixture ?
A) 8% B) 25% C) 20% D) 10%
Found 2 solutions by ikleyn, Fombitz:
Answer by ikleyn(52867)   (Show Source): You can put this solution on YOUR website!
.
1 ft cubic of silt was mixed into 5 ft cubic of soil containing 10% silt. What is the silt content of the mixture ?
A) 8% B) 25% C) 20% D) 10%
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Silt volume is 1 cubic ft + 0.1*5 cubic ft = 1.5 cubic ft. The total volume is 1 cubic ft + 5 cubic ft = 6 cubic ft. The ratio of the silt volume to the total volume is = 0.25 = 25%. Answer. 25%. Option B).

Solved.

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There is entire bunch of lessons covering various types of mixture problems
    - Mixture problems
    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
    - Word problems on mixtures for antifreeze solutions
    - Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts
    - Word problems on mixtures for dry substances like candies, dried fruits
    - Word problems on mixtures for dry substances like soil and sand (*)
    - Word problems on mixtures for alloys
    - Typical word problems on mixtures from the archive
    - Advanced mixture problem for three alloys
    - OVERVIEW of lessons on word problems for mixtures
in this site.

Of them, the closest to your problem is the lesson marked (*) in the list.
Read them and become an expert in solution the mixture word problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Mixture problems".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
The original amount of silt was,

Now there is,
of silt
And there is a total of mixture.
So the new concentration is,

Work that out for the answer.

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