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
-
Q #1: A cheese recipe calls for 1/2 cup of flour for every 3/8 cup of milk. To make a bigger batch, the chef uses 3 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
A. 2 ¼ cups
B. 1 3/4 cups
C. 4 cups
D. 2 ¾ cups
Answer Explanation
-
Q #2: Which of the following is the best estimate of the number of centimeters (cm) in 10 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)
A. 720 cm
B. 880 cm
C. 960 cm
D. 914 cm
Answer Explanation
-
Q #3: Which of the following is the value of x in the equation below. (|2x - 4| - 10 = 2)
A. x=4 or x=-8
B. x=-4 or x=8
C. x=-2 or x=1
D. x=-3 or x=5
Answer Explanation
Explanation:
We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.
Add 10 to both sides of the equation
Next, we apply the absolute rule:
If
, a>0, then u=a or u=-aIn this case a=12, which is greater 0. Then, the first condition becomes
Solving for x
The second condition becomes
Solving for x
Then, the value of x is -4 or 8.
