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
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
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Q #1: A macaroni and cheese recipe calls for 1/4 cup of flour for every 1 1/6 cup of milk. To make a bigger batch, the chef uses 5 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
A. 21 3/5 cups
B. 20 1/3cups
C. 23 4/9 cups
D. 23 1/3 cups
Answer Explanation
notice that the question compares the cup of flour and the cup of milk. We can therefore set up our ratios as cup of floorcup of milk
. If we let the x be the number of cups of milk needed, then
As a mixed fraction, 70/3 becomes 23 1/3, which represents the number of cups of milk needed to make a big batch of 5 cups.
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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.
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Q #3: A bag contains six green balls, three red balls, and five yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is red?
A. ½
B. 5/14
C. 3/7
D. 3/14
Answer Explanation
To find the probability of an event, we use the following the formula
To find the probability of drawing the red ball, we need to find the total number of balls in the bag.
Total number of balls in the bag=6+3+5=14 balls
The probability of drawing a red ball from the bag is 3/14.
