Soft Drinks: Orange Two 24-packs for $20, One 24-pack for $15 Root Beer: One 24-pack for $18 Cream Soda: One 12-pack for $10 A consumer needs to purchase at least 60 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 5 packs of cream Soda
B. 3 packs of Orange
C. 2 packs of Root Beer and 1 pack of Cream Soda
D. 2 packs of Orange and 1 pack of Cream Soda
To find the cheapest option, we find the amount the consume will spend for each option given:
2 packs of Orange and 1 pack of Cream Soda will cost $20 + $10= $30 (Choice D)
3 Packs of Orange will cost $20+$15 = $35 (Choice B)
2 packs of Root Beer and 1 pack of Cream Soda will cost 2($18) + $10 = $46 (Choice C)
5 packs of cream Soda will cost 5($10)=$50 (Choice A)
Hence Choice D - 2 packs of Orange and 1 pack of Cream Soda is the correct answer.
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: A circle has an area of 144 in2. Which of the following is the circumference of the circle in terms of pi ( )?
A. \(18 \pi in\)
B. \(6 \pi in\)
C. \(12 \pi in\)
D. \(24 \pi in\)
Answer Explanation
We need to find the circumference of the circle.
Before finding the circumference of a circle, we need to find the radius of the circle from the given area.
Let r be the radius of the circle, then the area of the circle is:
Substituting the value of area in the above equation
Dividing both sides by pi and taking square root on both sides yields
The radius of the circle with the given area is 12 in, and the circumference of the circle becomes:
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Q #2: A macaroni and cheese recipe calls for 4/7 cup of flour for every 2 1/5 cup of milk. To make a bigger batch, the chef uses 4 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
A. 15 1/5 cups
B. 15 2/5
C. 12 8/15 cups
D. 15 cups
Answer Explanation
To find the required number of cups of milk, we need to set up a proportion equation. If we let x be the required number of cups and cups of flour as numerator and cups of milk in denominator, then the result proportion becomes:
We cannot multiply mixed fractions with any number, so we change 2 1/5 into an improper fraction as
The proportion equation becomes
Cross-multiply to solve for x
As a mixed fraction, 77/5 becomes 15 2/5. Therefore, to make a bigger batch, the chef needs 15 2/5 cups of milk.
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Q #3: Soft Drinks Orange Two 24-packs for $20; one 24-pack for $15 Root Beer One 24-pack for $18 Cream Soda One 12-pack for $10 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 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 cheapest option, we find the amount the consume will spend for each option given.:
2 packs of Orange and 1 pack of Cream Soda will cost $20 + $10 = $30
3 Packs of Orange will cost $20+$15=$35
2 packs of Root Beer and 1 pack of Cream Soda will cost 2($18)+$10= $46
5 packs of cream Soda will cost 5($10)=$50
From the above evaluation, the cheapest option will cost the consumer $30.
Thus, buying 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.
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Q #4: A baker is using a cookie recipe that call for 3 ¼ cups of flour to yield 30 cookies. How much flour will the baker need to make 16 cookies using the same recipe?
A. 1 11/15 cups
B. 5 8/15 cups
C. 10 13/15 cups
D. 3 ¾ cups
Answer Explanation
Explanation
We are asked to find the number of cups of flour, which requires the concept of proportions.
If we let x to represent the number of cups of flour to make 16 cookies. Then
Solve the value of x by cross-multiplying
Convert the mixed fraction into improper fraction in order to carry out multiplication
The baker needs 26/15 cups of flour needed to make 16 cookies. This is equal to 1 11/15 cups.
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Q #5: Joe’s uncle is eight less than four times Joe’s age. Which of the equations represents Joe’s uncle’s age (u) as it relates to Joe’s age (k)?
A. u=8-4k
B. k=4u-8
C. k=8-4u
D. u=4k-8
Answer Explanation
We are asked to form an equation to find Joe’s uncle’s age to the age of Joe.
First, we find Joe’s age which is k. We know that Joe’s uncle’s age is four times that of Joe less 8. Then,
Joe’s uncle’s age, u = 4k-8.
Thus, the age of Joe’s uncle is u=4k-8.
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Q #6: The length of a rectangular room is 9 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A=9x
B. A=2x+2(x+9)
C. A=x(x+9)
D. A=x+(x+9)
Answer Explanation
we are asked to find the area of the room from the given information.
The first step is to find equation relating the length of the room to its width. If we let the width of the room to be x. Then,
Width of the rectangle= x
Length of rectangle = (x+9)
Area of the rectangle, A= Length*width = (x+9)*x
A=x(x+9)
Therefore, the area of the rectangular room is x(x+9).
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Q #7: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:10. Which of the following is the minimum length of a ramp needed to provide access to a door that is 2.3 feet above the sidewalk?
A. 23 feet
B. 14 feet
C. 32 feet
D. 30 feet
Answer Explanation
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Q #8: A motor company’s stock price was $33.20 on Tuesday. On Wednesday, the price went up $2.45. On Thursday, the price decreased from Wednesday’s price by $1.50. On Friday, the price went up $1.62 from Thursday’s price. Which of the following was the final price on Friday?
A. $35.65
B. $34.15
C. $35.77
D. $34.82
Answer Explanation
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Q #9: There are 900 students enrolled in four allied health programs at a local community college. The percent students in each program are displayed in the pie chart. Which of the following is the number of students enrolled in the respiratory care program?
A. 162
B. 171
C. 378
D. 189
Answer Explanation
we use the percentages and number of students to find the number of students enrolled in the respiratory care program as in the pie chart. The total percent of the whole piec chart sums to 100%.
If we let x represent the number of students enrolled in the respiratory care program, we can set a proportion equation with number of students on the numerator and percentages on the denominator.
Find the value of x by cross-products
Divide both sides of the equation by 100%
Thus, 171 students out of 900 students will enroll for a respiratory care program.
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Q #10: A baker is using a cookie recipe that call for 5 2/7 cups of flour to yield 40 cookies. How much flour will the baker need to make 70 cookies using the same recipe?
A. 10 ¼ cups
B. 9 ½ cups
C. 10 ¾ cups
D. 9 ¼ cups
Answer Explanation
