Which of the following is the weight of the cargo in a truck if 2/3 of the cargo weighs 530 pounds (lb)?
A. 795 lb
B. 1030 lb
C. 1590 lb
D. 688 lb
The truck carries a whole cargo which equals 1. If we let the weight of the cargo to be p, then we set up a proportion equation with weight as numerator and fraction of cargo as denominator.
Solve for value of p by cross products
Multiply both sides by 3/2 a reciprocal of 2/3
The truck carries a cargo weighing 795 lb.
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: 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
Answer Explanation
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.
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Q #2: Which of the following percentages is equivalent to the fraction below? 7/8
A. 875%
B. 0.875%
C. 8.75%
D. 87.5%
Answer Explanation
We are required to find the percent equivalent of the given fraction.
We multiply 7/8 by 100 to convert it to percent. You convert fraction to percent.
Thus 7/8 is equal to 87.5%.
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Q #3: A recipe calls for 1.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
A. 6.33 mL
B. 12.325 mL
C. 7.395 mL
D. 0.797 mL
Answer Explanation
We are asked to find mL equivalent in 1.5 teaspoons. To carry out the operations, we utilize dimensional analysis to solve this problem as follows.
Converting between teaspoon and mL uses the following conversions:
Or
Since we want to remain with mL, use the second option and proceed as follows.
Thus, 1.5 teaspoons is equal to 7.395 mL
