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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.

Therefore, the Correct Answer is A.

More Questions on TEAS 7 Math

  • Q #1: Which of the following values is the greatest?

    A. 25/2

    B. 12.35

    C. 40/3

    D. 11.46

    Answer Explanation

    To find the greatest number from the given set, we first convert the decimal numbers into fractions.

    12.35 becomes 1235/100

    11.46 becomes 1146/10

    Then, the LCM for the denominators of the given fractions of 2, 100, 3 and 10 is 300. Now we multiply each fraction with 300, which we will use to compare the give set.

    25/2*300=3750

    1235/100*300=3705

    40/3*300=4000

    1146/10*300=3438

    From the calculated values, 4000 is the greatest value. Then, 40/3 is the greatest value.

  • Q #2: Simplify the expression above. Which of the following is correct?

    A. 6

    B. 18

    C. 9

    D. 22

    Answer Explanation

    To simplify this expression, we follow the order of operations as follows:

    First, we start with the numerator and solve it as follows

    [2(6+3*9)]

    We start with multiplication in inner brackets, 3 * 9 = 27. The expression becomes

    [2(6+27)]

    Then, we carry out the addition of 6+27=33. Then, the expression yields

    [2(33)]=2*33=66

    Now, we solve for denominator, which is 6/2=3.

    Thus, the expression is reduced into

    The expression reduces into 22.

  • Q #3: Which of the following is the mean of the test scores listed below? 99, 93, 67, 48, 92, 87

    A. 67

    B. 48

    C. 99

    D. 81

    Answer Explanation

    the mean of a data set is the sum of the scores divided by the number of tests.

    Total test scores =99+93+67+ 48+ 92+ 87=486

    Number of tests =6

    Mean test score =486/6=81

    The mean test score is 81.