A plastic bucket containing 4/5 gallons of water is 3/4 full. How many gallons of water is in one fully filled bucket?
A. 1 1/15
B. 2 4/15
C. 9/15
D. 11/15
Given:
- A plastic bucket containing 4/5 gallons of water is 3/4 full.
To find:
- How many gallons of water is in one fully filled bucket?
Let's use the proportion formula to solve this:
If 3/4 of the bucket is 4/5 gallons, then 1 full bucket (or 4/4 of the bucket) will contain how many gallons?
\(\frac{3}{4}\) of the bucket = \(\frac{4}{5}\) gallons \(\frac{4}{3}\) of the bucket = \(\frac{5}{4}\) gallons \(\frac{4}{4}\) of the bucket=\(?\) gallons
\(\frac{4}{4}\) of the bucket = x gallons
Cross multiplying: x = \(\frac{4}{4}*\frac{4}{5}\ *\ \frac{4}{3}x = \frac{4}{5}*\frac{4}{3} = x\)
\(x\ =\ \frac{16}{15}\)
Thus, a fully filled bucket contains \(\frac{16}{15}\ =\ 1\frac{1}{15}\) gallons of water. Therefore, the correct choice is:
Choice A: 1 1/15
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: There are 900 students enrolled in four allied health programs at a local community college. The percent students in each program are displayed in the pie chart. Which of the following is the number of students enrolled in the respiratory care program?
A. 162
B. 171
C. 378
D. 189
Answer Explanation
we use the percentages and number of students to find the number of students enrolled in the respiratory care program as in the pie chart. The total percent of the whole piec chart sums to 100%.
If we let x represent the number of students enrolled in the respiratory care program, we can set a proportion equation with number of students on the numerator and percentages on the denominator.
Find the value of x by cross-products
Divide both sides of the equation by 100%
Thus, 171 students out of 900 students will enroll for a respiratory care program.
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Q #2: (frac{[2 (8 + 2 * 6)]}{(16 div 2)} = frac{40}{8} = 5) Simplify the expression above. Which of the following is correct?
A. 6
B. 2
C. 5
D. 3
Answer Explanation
We follow the order of operations to solve the given expression.
First, we start with the numerator and solve
[2(8+2*6)]
We start with multiplication in inner brackets, 2*6=12. The expression becomes
[2(8+12)]
Then, we conduct the addition of 8+12=20. Then, the expression yields
[2(20)] = 2*20 = 40
Now, we solve for denominator, which is 16/2=8.
Thus, the expression is reduced into
(frac{[2 (8 + 2 * 6)]}{(16 div 2)} = frac{40}{8} = 5)
The expression reduces into 5.
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Q #3: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:10. Which of the following is the minimum length of a ramp needed to provide access to a door that is 2.3 feet above the sidewalk?
A. 23 feet
B. 14 feet
C. 32 feet
D. 30 feet
Answer Explanation
