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.

Q #1: The amount of salary a technician takes home in a month increases with sales of stocks, the amount of charge fees, and the number of working hours. Which of the following is the dependent variable?

A. Amount of salary

B. Charge fee

C. Working hours

D. Sales of stocks

Answer Explanation

Amount of salary will vary if the other three variables change. Therefore, salary is a dependent variable.
Q #2: 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.
Q #3: James’ uncle is thirteen less than three times James’ age. Which of the equations represents James’ uncle’s age (m) as it relates to James’ (n)?

A. m=13-3n

B. n=3m-13

C. m=13-3n

D. m=3n-13

Answer Explanation

in this case, we express James’ uncle’s age in terms of James’ age. From the equation:

James’ age is n

James’s uncle’s age is m=3n-13

Thus, the relation that relates James’ uncle’s age in terms of James’ age is m=3n-13.

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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?

More Questions on TEAS 7 Math

Q #1: The amount of salary a technician takes home in a month increases with sales of stocks, the amount of charge fees, and the number of working hours. Which of the following is the dependent variable?

Answer Explanation

Q #2: 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?

Answer Explanation

Q #3: James’ uncle is thirteen less than three times James’ age. Which of the equations represents James’ uncle’s age (m) as it relates to James’ (n)?

Answer Explanation

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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?

More Questions on TEAS 7 Math

Q #1: The amount of salary a technician takes home in a month increases with sales of stocks, the amount of charge fees, and the number of working hours. Which of the following is the dependent variable?

Answer Explanation

Q #2: 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?

Answer Explanation

Q #3: James&rsquo; uncle is thirteen less than three times James&rsquo; age. Which of the equations represents James&rsquo; uncle&rsquo;s age (m) as it relates to James&rsquo; (n)?

Answer Explanation

Free Access on TEAS 7 Exams and Study Notes

TEAS 7 Exams (Q&A)

TEAS 7 Study Notes

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Refer a Friend

Q #3: James’ uncle is thirteen less than three times James’ age. Which of the equations represents James’ uncle’s age (m) as it relates to James’ (n)?