A bucket containing 5 2/5 gallons of water is 2/7 full. How many gallons of water is in one fully filled bucket?
A. 14/15
B. 2 7/15
C. 8 4/5
D. 18 9/10
we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.
Convert the mixed fraction into proper fraction as follows
If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.
Cross-multiply to find the value of x.
Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: The length of a rectangular room is 8 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A = w(w+8)
B. A = 2w+2(w+8)
C. A = 5(w+8)
D. A = w+(w+8)
Answer Explanation
To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then
Width of the rectangle= w
Length of rectangle=(w+8)
Area of the rectangle, A= Length*width=(w+8)*w
A=w(w+8)
Thus, the area of the rectangular room is w(w+8).
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Q #2: A bag contains two green balls, three red balls, and seven yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is yellow?
A. 7/12
B. ¼
C. ½
D. 1/6
Answer Explanation
The probability of finding the probability of a yellow ball is given by
Total number of balls in the bag=2+3+7=12 balls
The probability of drawing a yellow ball from the bag is 7/12.
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Q #3: Three friends are sharing a pizza. One friend eats half of the pizza. The other two friends equally divide the rest among themselves. What portion of the pizza did each of the other two friends receive?
A. 1/6
B. 1/3
C. ¼
D. 1/5
Answer Explanation
we need to find the portion of pizza shared by two other friends.
We know that a whole pizza represents 1 and one friend eats half of it. So, the remaining amount left to other two friends is
Remaining fraction of the pizza=1-1/2=1/2
Now, the two friends share ½ amongst themselves equally. Then, each friend gets
The two friends each gets 1/4 of the pizza.
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Q #4: There are 800 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 nursing program?
A. 168
B. 144
C. 336
D. 152
Answer Explanation
we are asked to find the number of students enrolled in the nursing program using the percentages in the pie chart.
If we let x represent the number of students enrolled in the nursing program, we set a proportion equation with number of students on the numerator and percentages on the denominator.
Total percent in the pie chart is 100%, which equals 800 students. Then, 42% will represent
We solve the value of x by cross-multiplying the equation above.
Therefore, 336 students will enroll for a nursing program.
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Q #5: Which of the following is the mean of the test scores listed below? 80, 68, 74, 87, 96
A. 80
B. 78
C. 96
D. 81
Answer Explanation
the mean of a data set is the total scores divided by the number of tests.
Total test scores =80+68+74+87+96=405
Number of tests =5
Mean test score =405/5=81
The mean test score is 81.
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Q #6: A pharmaceutical company’s stock price was $33.65 on Monday. On Tuesday, the price went up $1.23. On Wednesday, the price decreased from Tuesday’s price by $0.97. On Thursday, the price went up $2.75 from Wednesday’s price. Which of the following was the final price on Thursday?
A. $33.65
B. $33.91
C. $34.88
D. $36.66
Answer Explanation
The final price of the stock on Thursday can be found by finding the price on the previous day taking into account the price changes as follows.
The price of the stock on Monday was $33.65
On Tuesday the price of the stock went up by $1.23 from Monday’s price. Then, Tuesday’s price was $(33.65+1.23)=$34.88
The price of the stock on Wednesday decreased by $0.97 from Tuesday’s price. The price on Wednesday became $(34.88-0.97)=$33.91
Thursday’s price increased by $2.75 from Wednesday’s price, which was $(33.91+2.75)=$36.66
Therefore, the final price of the stock on Thursday was $36.66.
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Q #7: Which of the following is the independent variable in the equation below? F(z)=9z+28
A. F
B. 9
C. 28
D. z
Answer Explanation
Given the equation F(z)=9z+28
To find the value of F(z), we need to vary the value of z. In this case, z is the independent variable while F(z) is what we measure, which is the dependent variable.
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Q #8: Which of the following is the appropriate unit of measure to express the weight of a knife?
A. Liter
B. Milliliter
C. Gram
D. Kilogram
Answer Explanation
The weight of the knife could be appropriately expressed in grams. Since a knife is a small object, we do not expect to measure its weight in kilograms. Liter and milliliter are units of measuring the volume of objects.
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Q #9: A recipe calls for 6 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
A. 34.33 mL
B. 29.58 mL
C. 25.59 mL
D. 12.32 mL
Answer Explanation
To find the amount of vanilla in mL, we set up an equation in a way the unwanted units cancel out and leave the wanted unit we are looking for. Then,
Thus, a recipe of 6 teaspoons equals 29.58 mL.
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Q #10: Which of the following values is the greatest?
A. 3/8
B. 6.25
C. 10/7
D. 7.4
Answer Explanation
To find the greatest number from the given options, convert the decimal numbers into fractions.
6.25 becomes 625/100
7.4 becomes 74/10
The LCM for the denominators of 8, 100, 7, and 10 is 2800. Now we can multiply each fraction with the LCM.
3/8*2800=1050
625/100*2800=17500
10/7*2800=4000
74/10*2800=20720
The fraction 7.4 is the greatest of all.
