One gallon of cleaning solution requires 10 oz of ammonia. If the maintenance department needs 51 gallons of solution to clean all of the floors, how much ammonia is needed?
A. 510 gallons
B. 51 gallons
C. 510 oz
D. 51 oz
We use given information to find how much ammonia is need to make the specified solution.
We are told, one gallon of cleaning solution requires 10 oz of ammonia. Expressing this mathematically yields two options:
\(\frac{10\ oz\ of\ ammonia}{1\ gallon\ of\ solution}\) or \(\frac{1\ gallon\ of\ solution}{10\ oz\ of\ ammonia}\)
Now we find how much ammonia is needed using option two.
\(51\ gallon\ of\ solution\ *\frac{10\ oz\ of\ ammonia}{1\ gallon\ of\ solution}\ =\ 510\ oz\ of\ ammonia\)
From the above equation, gallon of solution will cancel, and oz of ammonia is left.
Therefore, the solution will require 510 oz of ammonia.
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: A large pizza has a diameter of 12 inches. Which of the following is the area of the pizza in terms of pi ()?
A. 24 πi n2
B. 48 π in2
C. 18π in2
D. 36 π in2
Answer Explanation
Before finding the area of the pizza, we need to find the radius of the pizza.
Find radius of the pizza in terms of diameter
Next, find area of the pizza using the radius of 6 inches
Substituting r=6 in the equation of the area of a circle
Thus, the pizza has an area of 36 π in2.
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Q #2: How may milliliters are there in 2.5 liters?
A. 0.25
B. 250
C. 25
D. 2500
Answer Explanation
We use 1 L =1000 mL to convert between the two units. The conversion options of interconversions are:
And
We want millimeters, use the second option to change L to mL as:
Therefore, 2.5 L is equivalent to 2500 mL.
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Q #3: If x represents the width of a rectangle and length is four less than three times the width, which of the following expressions represents the length of the rectangle in terms of x?
A. 4 - 3x
B. 3 - 4x
C. 4x - 3
D. 3x - 4
Answer Explanation
To form an equation from the word problem, first break the given statement into smaller statements.
First, we are given the width of the rectangle as x. We are told, the length is three times width. Mathematically, this means
Length=3*width=3*x=3x
Again, the length is 4 less than 3 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:
Length =3x-4
This is the required equation.
