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Soft Drinks Orange: Two 24-packs for $18; one 24-pack for $10 Root Beer: One 24-pack for $12 Cream Soda: One 12-pack for $5 A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective?

A. 2 packs of Orange and 1 pack of Cream Soda

B. 3 packs of Orange

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

D. 5 packs of cream Soda

Answer Explanation:

To find the cost-effective option, we need to find how much the consumer will spend for the given options:

2 packs of Orange and 1 pack of Cream Soda will cost $18+$5= $23

3 Packs of Orange will cost $18+$10=$28

2 packs of Root Beer and 1 pack of Cream Soda will cost 2($12)+$5=$29

5 packs of cream Soda will cost 5($5)=$25

From the above evaluation, the consumer will spend $23 for a cost effective package of soft drinks. Thus, 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.

Therefore, the Correct Answer is A.

More Questions on TEAS 7 Math

  • Q #1: Which of the following is the mean of the test scores listed below? 100, 78, 47, 84, 93, 78

    A. 80

    B. 78

    C. 96

    D. 87

    Answer Explanation

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

    Total test scores =100+78+47+84+93+78=480

    Number of tests =6

    Mean test score =480/6=80

    The mean test score is 80.

     

  • Q #2: Which of the following is the best approximation of 10 times the positive square root of 20?

    A. 100.0

    B. 44.7

    C. 200.0

    D. 89.4

    Answer Explanation

    We use the calculator to determine the positive square root of 20, which is then multiplied by 20.

    Using the calculator,

    Multiplying the square root above with 10 becomes

    The approximate value is 44.7.

  • Q #3: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 2.5 feet above the sidewalk?

    A. 25 feet

    B. 145 feet

    C. 32.5 feet

    D. 30 feet

    Answer Explanation

    The slope represent the ratio between the vertical height to the horizontal length. Let x be the minimum length of the ramp, we can set a proportion with height on the numerator and length on denominator. Then,

    Cross-multiply to find the value of x

    Thus, the minimum length of the ramp needed is 30 feet to access to a door that is 2.5 feet above the sidewalk.

  • Q #4: Soft Drinks Orange: Two 24-packs for $18; one 24-pack for $10 Root Beer: One 24-pack for $12 Cream Soda: One 12-pack for $5 A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective?

    A. 2 packs of Orange and 1 pack of Cream Soda

    B. 3 packs of Orange

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

    D. 5 packs of cream Soda

    Answer Explanation

    To find the cost-effective option, we need to find how much the consumer will spend for the given options:

    2 packs of Orange and 1 pack of Cream Soda will cost $18+$5= $23

    3 Packs of Orange will cost $18+$10=$28

    2 packs of Root Beer and 1 pack of Cream Soda will cost 2($12)+$5=$29

    5 packs of cream Soda will cost 5($5)=$25

    From the above evaluation, the consumer will spend $23 for a cost effective package of soft drinks. Thus, 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.

  • Q #5: Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?

    A. 1/6

    B. 1/3

    C. ¼

    D. 1/5

    Answer Explanation

    What fraction of the pizza the other three friends get is what is asked to find.

    First, the pizza is whole, representing a value of 1. Then, one friend ate half of the pizza. Thun, the fraction of the pizza the friend gets is:

    First friend eats =1/2 of 1=1/2

    Remaining fraction of the pizza=1-1/2=1/2

    Now, the three friends share ½ amongst themselves equally. Then, each friend gets

    The three friends each gets 1/6 of the pizza.

  • Q #6: A pharmaceutical company’s stock price was $50.33 on Monday. On Tuesday, the price went up $2.35. On Wednesday, the price decreased from Tuesday’s price by $1.07. On Thursday, the price went up $0.75 from Wednesday’s price. Which of the following was the final price on Thursday?

    A. $54.50

    B. $53.43

    C. $52.36

    D. $50.86

    Answer Explanation

    We need to find the price changes in each day of the week in order to find the price of the stock on Thursday.

    Monday’s price was $50.33

    Tuesday’s price went up by $2.35 from Monday’s price. The price was $(50.33+2.35)=$52.68

    Wednesday’s price decreased by $1.07 from Tuesday’s price, and so the price of the stock was $(52.68-1.07)=$51.61

    Thursday’s price increased by $0.75 from Wednesday’s price, which was $(51.61+0.75)=$52.36

    Therefore, the price of the stock on Thursday was $52.36.

  • Q #7: Which of the following is the value of x in the equation below

    A. x= -1/2 or x=3/2

    B. x= -1 or x=2

    C. x =-2 or x= 1

    D. x= -3/2 or x= 1/2

    Answer Explanation

    We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.

    Add 10 to both sides of the equation

    Next, we apply the absolute rule:

    ,   a>0, then u=a or u=-a

    In this case a=12, which is greater 0. Then, the first condition becomes

    Solving for x

    The second condition becomes

    Solving for x

    Then, the value of x is -1 or 2.

  • Q #8: Which of the following is the best estimate of the number of centimeters (cm) in 1 yard? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)

    A. 72 cm

    B. 180 cm

    C. 36 cm

    D. 90 cm

    Answer Explanation

    We convert the given value in yard to the cm using the following set up.

    The value 91.44 cm is close to 90 cm. Therefore, 1 yard is approximately 90 cm.

  • Q #9: How many milliliters are there in 0.5 liters?

    A. 5.000

    B. 50

    C. 500

    D. 5

    Answer Explanation

    We use the relation 1 L=1000 mL to convert 0.5 L to mL as follows.

    Thus, 0.5 L is 500 mL.

  • Q #10: A baker is using a cookie recipe that call for 2 ¼ cups of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?

    A. 6 ¾ cups

    B. 5 5/8 cups

    C. 10 1/8 cups

    D. 4 ¾ cups

    Answer Explanation

    We are asked to find the number of cups of flour that will be used to make 90 cookies.

    Letting x be the number of cups of flour and setting the proportion equation with number of cookies on numerator and number of cups of flour on the denominator. We have

    Solve the value of x by cross-multiplying

    We convert the mixed fraction into improper fraction in order to carry out multiplication

    \(x =\ \frac{9}{4}\ cups\ *\ 90\ cookies\ *\ \frac{1}{36}\ cookies\)

     

    The number of cups of flour needed to make 90 cookies is 5.625 cups, which is equal to 5 5/8 cups(Choice B).