A bucket containing 2 2/5 gallons of water is 4/7 full. How many gallons of water is in one fully filled bucket?
A. 4 1/5
B. 2 1/5
C. 4 4/5
D. 2 2/5
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
(2frac{2}{5}=frac{left(2ast5 ight)+2}{5}=frac{10+2}{5}=frac{12}{5})
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.
(frac{x gallons}{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})
Cross-multiply to find the value of x.
(frac{x }{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})
(x astfrac{4}{7}full tank=frac{12}{5} gallonsast1 full tank)
(x =frac{frac{12}{5} gallonsast1 full tank}{frac{4}{7}full tank}=frac{12}{5}divfrac{4}{7} gallons=frac{12}{5}astfrac{7}{4}gallons=frac{21}{5}gallons)
Converting 21/5 to a mixed fraction is 4 1/5. Thus, when the tank is full, it holds 4 1/5 gallons of water.
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 10 feet and a hypotenuse of 24 feet? (Round to the nearest tenth.)
A. 21.8 feet
B. 25 feet
C. 13.6 feet
D. 17.7 feet
Answer Explanation
Let the unknown length of the x. The resulting triangle is shown below.
We use the Pythagoras theorem as follows to find the unknown value of x as:
Thus, the value of unknown side of the triangle is 21.8 feet.
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Q #2: Soft Drinks Orange Two 24-packs for $10; one 24-pack for $8 Root Beer One 24-pack for $11 Cream Soda One 12-pack for $6 A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 1 two-24 packs of Orange and 2 packs of Cream Soda
B. 3 one 24-pack of Orange
C. 1 packs of Root Beer and 3 packs of Cream Soda
D. 4 packs of cream Soda
Answer Explanation
To find the cheapest option, we determine how much the consumer will spend in each option given above:
1 two-24 packs of Orange and 2 pack of Cream Soda=1($10)+2($6)=$10+$12=$22
3 one 24-pack of Orange=3($8)=$24
1 pack of Root Beer and 3 packs of Cream Soda=1($11)+3($6)=$11+$18=$29
4 packs of cream Soda=4($6)=$24
The cheapest option is spending $22 and the most expensive one is $29. Thus, the consumer should consider buying 1 two-24 packs of Orange and 2 packs of Cream Soda.
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Q #3: A bucket containing 2 2/5 gallons of water is 4/7 full. How many gallons of water is in one fully filled bucket?
A. 4 1/5
B. 2 1/5
C. 4 4/5
D. 2 2/5
Answer Explanation
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
(2frac{2}{5}=frac{left(2ast5 ight)+2}{5}=frac{10+2}{5}=frac{12}{5})
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.
(frac{x gallons}{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})
Cross-multiply to find the value of x.
(frac{x }{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})
(x astfrac{4}{7}full tank=frac{12}{5} gallonsast1 full tank)
(x =frac{frac{12}{5} gallonsast1 full tank}{frac{4}{7}full tank}=frac{12}{5}divfrac{4}{7} gallons=frac{12}{5}astfrac{7}{4}gallons=frac{21}{5}gallons)
Converting 21/5 to a mixed fraction is 4 1/5. Thus, when the tank is full, it holds 4 1/5 gallons of water.
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Q #4: Five friends are sharing a pizza. Two friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
A. 1/6
B. 1/3
C. 5/6
D. 1/5
Answer Explanation
we need to find the portion of pizza shared by other three friends.
Two friends eat half of the pizza, which is ½
And the remaining amount of pizza,
Now, the other three friends share ½ amongst themselves equally. Then, each friend gets
The other three friends each gets 1/6 of the pizza.
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Q #5: A circle has an area of 169 π in2. Which of the following is the circumference of the circle in terms of pi ( )?
A. 13 π in
B. 26 π in
C. 7.5 π in
D. 20 π in
Answer Explanation
We need to find the radius of the circle in order to find circumference of the circle. If we let r to be radius of the circle, then
Substituting 169π
in place of area
Dividing both sides by pi and taking square root on both sides yields
The radius of the circle from the given area is 13 in. and the circumference of the circle is given by the relation:
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Q #6: How many milliliters are there in 6.5 liters?
A. 0.65
B. 65
C. 650
D. 6500
Answer Explanation
We use the relation 1 L=1000 mL to convert L to mL.
The two options for converting between L and mL are
And
We use the first option to convert 6.5 L to mL as follows:
Thus, 6.5 L is 6500 mL.
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Q #7: Which of the following is the equivalence in pounds for 65 kg? (2.2 lb=1 kg)
A. 52.2 lb
B. 22.7 lb
C. 143 lb
D. 220 lb
Answer Explanation
To find the pounds equivalent of the kg given, we use the two options as given below.
OR
Since we want to remain with pounds, we use the second option and set up the equation below.
Thus, 65 kg is equal to 143 lb.
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Q #8: A teacher has asked all the students in the class what is their favorite color is and separates the responses into five categories. The results are shown in the table below. which of the following is the best way to display the frequency for each color? Color Red Black Green White Other Number of students 12 25 8 5 10
A. Histogram
B. Pie chart
C. Scatter plot
D. Line graph
Answer Explanation
A histogram is used to visualize the frequency of a one variable over the other while a line graph is used to compare two variables.
A scatter plot used to show the correlation between two variables.
A pie chart is used to show the proportion of the given information in circle, with each section of a circle representing a given fraction of a whole.
From the given information, a pie chart is an appropriate tool show the frequency of the students choosing their favorite color.
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Q #9: Which of the following is an appropriate unit of measure to express the length of a chair?
A. Centimeters
B. Kilometers
C. Micrometers
D. Milligrams
Answer Explanation
The length of the chair could be appropriately measured in centimeters. Kilometers are used to measure long distances while micrometers could be used to measure the length of small microorganism in microbiology lab. However, milligrams are used to measure the masses of small quantities.
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Q #10: Solve for A in the equation below. Diagram:
A. A = t(kr+P)
B. A = (kr+P)/t
C. A = P-kr/t
D. A = kr-t/P
Answer Explanation
P-At=-kr
Subtract P on both sides
P-P-At=-kr-P
-At=-kr-P
Divide both sides by -t
-At/-t=(-kr-P)/-t
A=(kr+P)/t
