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
-
Q #1: John’s uncle is twelve less than five times John’s age. Which of the equations represents John’s uncle’s age (u) as it relates to John’s age (k)?
A. u = 12-5k
B. k = 5u-12
C. k = 12-5u
D. u = 5k-12
Answer Explanation
We are asked to determine John’s uncle’s age relating to John’s age.
First, express John’s uncle’s age in terms of John’s age as follows
John’s age=k
John’s uncle’s age, u = 5k-12.
Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=5k-12.
-
Q #2: To determine the cost of a meal, the restaurant considers the quantity of the meal, the number of toppings, and the types of spices. Which of the following is the dependent variable?
A. Size of meal
B. Cost of meals
C. Type of spices
D. Number of toppings
Answer Explanation
A dependent variable changes with any change made in an independent variable. From this case, cost of meals depends on other three options. In other words, the quantity of meal, number of toppings, and types of spices influence the cost of the meal.
-
Q #3: Which of the following is the value of x in the equation below
A. x= -4/3 or x=2
B. x= -1 or x=2
C. x =-2 or x= 1
D. x= -3/2 or x= 1/2
Answer Explanation
we find the value of x by applying the absolute conditions to the given equation.
First, add 2 to both sides of equation
Add 10 to both sides of the equation
Next, we apply the absolute rule:
If u=a
, a>0, then u=a or u=-aIn this case a=5, which is greater 0.
The first condition becomes
Solving for x
The second condition becomes
Solving for x
Then, the value of x is -4/3 or 2.
