Soft Drinks Orange Two 24-packs for $10; one 24-pack for $8 Root Beer One 24-pack for $11 Cream Soda One 12-pack for $6 A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 1 two-24 packs of Orange and 2 packs of Cream Soda
B. 3 one 24-pack of Orange
C. 1 packs of Root Beer and 3 packs of Cream Soda
D. 4 packs of cream Soda
To find the cheapest option, we determine how much the consumer will spend in each option given above:
1 two-24 packs of Orange and 2 pack of Cream Soda=1($10)+2($6)=$10+$12=$22
3 one 24-pack of Orange=3($8)=$24
1 pack of Root Beer and 3 packs of Cream Soda=1($11)+3($6)=$11+$18=$29
4 packs of cream Soda=4($6)=$24
The cheapest option is spending $22 and the most expensive one is $29. Thus, the consumer should consider buying 1 two-24 packs of Orange and 2 packs of Cream Soda.
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: There are 1200 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 radiologic technology program?
A. 216
B. 504
C. 228
D. 252
Answer Explanation
We are asked to find the number of students enrolled in the radiologic program using the information provided on the pie chart.
If we let x represent the number of students enrolled in the radiologic program, we set a proportion equation with number of students on the numerator and percentages on the denominator.
Total percent in the pie chart adds to 100%, which equals 1200 students. Then, 21% will represent
We solve the value of x by cross-multiplying the equation above.
Therefore, 252 students will enroll for a radiologic program.
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Q #2: Which of the following is an appropriate unit of measure to express the length of a chair?
A. Centimeters
B. Kilometers
C. Micrometers
D. Milligrams
Answer Explanation
The length of the chair could be appropriately measured in centimeters. Kilometers are used to measure long distances while micrometers could be used to measure the length of small microorganism in microbiology lab. However, milligrams are used to measure the masses of small quantities.
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Q #3: A person weighed themselves at 153 lb. Five months later they weighed themselves at 120 lb. Which of the following is the percent of weight the person lost over 5 months? (Round to the nearest percent.)
A. 38%
B. 22%
C. 19%
D. 29%
Answer Explanation
The percentage change in weight is found in three steps below:
Absolute change in weight=final weight-initial weight
Absolute change in weight= (left|120-153 ight|=left|-33 ight|=33)
Relative change in weight= (frac{absolute change}{initial weight}=frac{33}{153}=0.216)
Percent change=relative change * 100%
Percent change=0.216*100%=21.6%
The percent change in weight lost is 21.6 %, which is about 22%.
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Q #4: A bucket containing 2 2/5 gallons of water is 4/7 full. How many gallons of water is in one fully filled bucket?
A. 4 1/5
B. 2 1/5
C. 4 4/5
D. 2 2/5
Answer Explanation
we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.
Convert the mixed fraction into proper fraction as follows
(2frac{2}{5}=frac{left(2ast5 ight)+2}{5}=frac{10+2}{5}=frac{12}{5})
If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.
(frac{x gallons}{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})
Cross-multiply to find the value of x.
(frac{x }{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})
(x astfrac{4}{7}full tank=frac{12}{5} gallonsast1 full tank)
(x =frac{frac{12}{5} gallonsast1 full tank}{frac{4}{7}full tank}=frac{12}{5}divfrac{4}{7} gallons=frac{12}{5}astfrac{7}{4}gallons=frac{21}{5}gallons)
Converting 21/5 to a mixed fraction is 4 1/5. Thus, when the tank is full, it holds 4 1/5 gallons of water.
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Q #5: Which of the following is the decimal form of 98.2%?
A. 9.82
B. 9820
C. 982
D. 0.982
Answer Explanation
Percentages are fractions with denominator equal to 100. To convert a percent to decimal form, divide the value by 100.
The decimal form of 98.2% is 0.982.
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Q #6: A bag contains six green balls, eight red balls, and three yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is green?
A. 10/17
B. 3/17
C. 2/17
D. 6/17
Answer Explanation
The probability of finding a green ball is given by
Total number of balls in the bag=6+8+3=17 balls
Therefore, the probability of drawing a green ball from the bag containing 17 balls is 6/17.
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Q #7: An energy company’s stock price was $65.50 on Monday. On Tuesday, the price went up $1.50. On Wednesday, the price decreased from Tuesday’s price by $2.57. On Thursday, the price went up $2.25 from Wednesday’s price. Which of the following was the final price on Thursday?
A. $66.68
B. $65.79
C. $67.00
D. $64.43
Answer Explanation
We are tasked to find the stock price on Thursday from the given information. Here, we need to find the stock of each day from the price increase or decrease. If the price increases, we add to the previous day’s price and subtract if the price decreases.
Monday’s stock price=$65.50
Tuesday’s stock price is Monday’s plus $1.50=65.50+1.50=$67.00
Wednesday’s stock price went down by $2.57 from Tuesday’s=67.00-2.57=$64.43
Thursday’s stock price went up by $2.25 from Wednesday’s =64.43+2.25=$66.68
From the above evaluation, the stock price on Thursday was $66.68
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Q #8: A child has collected 100 pennies, 90 nickels, 50 dimes, and 5 quarters. Which of the following charts accurately organizes the number of coins? Chart 1 Chart 2 Chart 3 Chart 4
A. Chart 1
B. Chart 2
C. Chart 3
D. Chart 4
Answer Explanation
C organizes the collection correctly.
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Q #9: Soft Drinks Orange Two 24-packs for $10; one 24-pack for $8 Root Beer One 24-pack for $11 Cream Soda One 12-pack for $6 A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 1 two-24 packs of Orange and 2 packs of Cream Soda
B. 3 one 24-pack of Orange
C. 1 packs of Root Beer and 3 packs of Cream Soda
D. 4 packs of cream Soda
Answer Explanation
To find the cheapest option, we determine how much the consumer will spend in each option given above:
1 two-24 packs of Orange and 2 pack of Cream Soda=1($10)+2($6)=$10+$12=$22
3 one 24-pack of Orange=3($8)=$24
1 pack of Root Beer and 3 packs of Cream Soda=1($11)+3($6)=$11+$18=$29
4 packs of cream Soda=4($6)=$24
The cheapest option is spending $22 and the most expensive one is $29. Thus, the consumer should consider buying 1 two-24 packs of Orange and 2 packs of Cream Soda.
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Q #10: Which of the following is the value of x in the equation below
A. x= -4 or x=2
B. x= -2 or x=3
C. x =-2 or x= 4
D. x= -2 or x= 1
Answer Explanation
we find the value of x by applying the absolute conditions to the given equation.
First, add 2 to both sides of equation
The absolute conditions are:
If
, a>0, then u=a or u=-aIn this case a=10, which is greater 0.
The first condition becomes
Add 2 to both sides of the equation
Divide both sides by 4
The second condition becomes
Add 2 to both sides of the equation
Divide both sides by 4
Then, the value of x is 3 or -2.
