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
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
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Q #1: The length of a rectangular room is 2 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A = 2x
B. A = 2x+2(x+2)
C. A = x+(x+2)
D. A = x(x+2)
Answer Explanation
we are asked to find the area of a rectangle, which can only be found by finding the relation between length and width. Now, letting x represent the width, then
Length of rectangle=(x+2)
Width of the rectangle= x
Area of the rectangle, A= Length*width=(x+2)*x
A=x(x+2)
Therefore, the area of the rectangle becomes x(x+2).
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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.
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Q #3: A circle has an area of 81π in2. Which of the following is the circumference of the circle in terms of pi ( π)?
A. 4.5 π in
B. 14 π in
C. 18 π in
D. 9 π in
Answer Explanation
we need to find the circumference of the circle from the given area.
The first step is to find the radius of the circle using the given area. Let r be the radius of the circle, then:
Substituting the value of area in the above equation becomes
Dividing both sides by pi and taking square root on both sides yields
Now, we know the radius of circle to be 9 in, the circumference of the circle becomes,
in. -
Q #4: 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.
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Q #5: 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 #6: A teacher has asked all the students in the class which days of the week they get up after 9 a.m. which of the following is the best way to display the frequency for each day of the week?
A. Bar graph
B. Pie graph
C. Scatter plot
D. Histogram
Answer Explanation
A histogram will be appropriate to represent the time the students wake up every day of the week. The histogram is used to represent the frequency of the variable with another variable. In our case the vertical axis will represent the number of students (frequency) while the time of waking up on the horizontal axis.
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Q #7: To determine the cost of a phone, the seller considers the brand name, size of the RAM, and size of the battery. Which of the following is the dependent variable?
A. Cost of a phone
B. Brand name
C. Size of the RAM
D. Size of the battery
Answer Explanation
A dependent variable is one that changes when another variable changes. In this case, the cost of the phone will change depending on the change in brand name, size of the RAM, and size of the battery. Thus, cost of a phone is a dependent variable.
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Q #8: Which of the following is the best estimate of the number of centimeters (cm) in 4 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)
A. 370 cm
B. 290 cm
C. 365 cm
D. 350 cm
Answer Explanation
we set the conversion equation to find the unknown unit. Arrange the equation such that the unwanted units cancel out and the wanted unit remains.
The value 365.76 cm is close to 365 cm. Therefore, 4 yards is approximately 365 cm.
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Q #9: Which of the following is the equivalence in pounds for 55 kg? (2.2 lb=1 kg)
A. 82.2 lb
B. 22.6 lb
C. 121 lb
D. 242 lb
Answer Explanation
We are asked to convert kg to pounds using the given relation. If we let x to represent the lb we are asked to find, we set the proportion equation with kg on numerator and lb on the denominator as follows.
The equivalent value of 55kg is 121 lb.
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Q #10: 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.
