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A bucket containing 3 3/5 gallons of water is 2/3 full. How many gallons of water is in one fully filled bucket?

A. 13/15

B. 6 7/15

C. 8 2/5

D. 5 2/5

Answer Explanation:

we are asked to find the number of gallons a full tank holds. A full tank is treated as 1 whole.

Letting x be the number of gallons in full tank and setting the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.

x 1 full tank=185 gallons23full tank

A full tank holds 27/5 gallons, which when converted to a mixed fraction is 5 2/5.

Therefore, the Correct Answer is D.

More Questions on TEAS 7 Math

  • Q #1: Which of the following is the value of x in the equation below

    A. x= -3 or x=4

    B. x= -1 or x=2

    C. x =-2 or x= 4

    D. x= -3 or x= 5

    Answer Explanation

    We are tasked to find the unknown values of x in the given equation.

    First, we add 8 to both sides of the equation.

    Next, we apply the absolute rule:

    If   , a>0, then u=a or u=-a

    From our resulting equation, a=14, which is greater 0. Then, the first condition (u=a) becomes

    Solving for x

    The second condition (u= -a) becomes

    Solving for x

    Thus, the value of x is 4 or -3

  • Q #2: Which of the following is the total number of whole boxes that measure 2.5 ft * 2.5 ft * 2.5 ft that can be stored in a room that measures 12 ft * 12 ft * 12 ft, if the size of the boxes cannot be altered?

    A. 111

    B. 105

    C. 150

    D. 120

    Answer Explanation

    The number of boxes to fit the room is found as volume of the room divided by the volume of the box.

    Number of boxes:

    \(\frac{volume\ of\ the\ room}{volume\ of\ the\ box} = \frac{12ft\ *\\ 12ft\ *\ 12ft}{2.5ft\ *\ 2.5t\ *\ 2.5ft}\ =\ 110.592\)

    The approximate number of boxes that can be stored in the room is approximately 111 square feet.

  • Q #3: Soft Drinks Shop Orange: Two 24-packs for $15; one 24-pack for $9 Root Beer: One 24-pack for $14 Cream Soda: One 12-pack for $5 A consumer needs to purchase at least 60 soft drinks for a picnic. Which of the following combinations is the most cost-effective?

    A. 2 pack of Orange and 2 packs of Cream Soda

    B. 3 packs of Root Beer

    C. 1 pack of orange, 2 packs of Root Beer and 1 pack of Cream Soda

    D. 4 packs of cream Soda

    Answer Explanation

    Choice A: 2 packs of Orange and 2 packs of Cream Soda

    • Total drinks: 48 + 24 = 72 drinks
    • Total cost: (2 * $15) + (2 * $5) = $30 + $10 = $40
    • This choice not only meets the requirement of at least 60 drinks but also offers the best value in terms of cost per drink, making it the most cost-effective option.

    Choice B: 3 packs of Root Beer

    • Total drinks: 3 * 24 = 72 drinks
    • Total cost: 3 * $14 = $42
    • While this choice meets the requirement of at least 60 drinks, it's not the most cost-effective, as it costs $42 for 72 drinks.

    Choice C: 1 pack of Orange, 2 packs of Root Beer, and 1 pack of Cream Soda

    • Total drinks: 24 + 48 + 12 = 84 drinks
    • Total cost: $9 + (2 * $14) + $5 = $9 + $28 + $5 = $42
    • This choice provides more than 60 drinks, but it's not the most cost-effective due to its higher cost of $42, same as choice B.

    Choice D: 4 packs of Cream Soda

    • Total drinks: 4 * 12 = 48 drinks
    • Total cost: 4 * $5 = $20
    • While this choice is the most cost effective, it falls short of providing the desired number of drinks.