SOLUTION: A landscaper combines 4 gallons of a 97% gasoline and 3% oil mix with 1/2 gallon of a 98.5% gasoline and 1.5% oil mix. What percent of the combined mixture is gasoline?

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Question 282915: A landscaper combines 4 gallons of a 97% gasoline and 3% oil mix with 1/2 gallon of a 98.5% gasoline and 1.5% oil mix. What percent of the combined mixture is gasoline?
Answer by Deina(147)   (Show Source): You can put this solution on YOUR website!
The key to this problem is setting up the formula. Notice that they have thrown in some extra numbers that are irrelevant just to throw us off.

We take what we know:

That is all we need to solve the problem, so let's lay this out in the format
:


Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=2.83333333333333.
  • Graphical form: Equation was fully solved.
  • Text form: 3*(4)+1.5*(0.5)=x*(4.5) simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 3*(4)+1.5*(0.5)=x*(4.5) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+0.5+%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Replaced numbers in term with 0.75
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Factors 1275 and 100 have greatest common factor (GCF) of 25. Reducing fraction.
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+4.5+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-x%2A4.5+%29
It becomes .
Look at .
Moved 51%2F4 to the right of expression
It becomes .
Look at .
Solved linear equation highlight_red%28+-x%2A4.5%2B51%2F4=0+%29 equivalent to -4.5*x+12.75 =0
It becomes .
Result:
This is an equation! Solutions: x=2.83333333333333.

Universal Simplifier and Solver


Done!


So you can see that the final mixture comes out to 2.8 1/3% and bob's your uncle!
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