Three friends are sharing a burger. One friend eats a quarter of the burger. The other two friends equally divide the rest among themselves. What portion of the burger did each of the other two friends receive?
A. 1/6
B. 1/4
C. 3/4
D. 3/8
: we are needed to find the portion of burger the two other friends share between themselves. A whole burger is 1, and we know that,
One friend=1/4 of 1=1/4*1=1/4
Remaining amount=1-1/4=4/4-1/4=3/4
Thus, ¾ of burger is left for two friends to share among themselves. Then, each friend will get
So, the other two friends will each get 3/8 of the burger.
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: Which of the following values is the greatest?
A. 11/2
B. 5.4
C. 13/3
D. 6.25
Answer Explanation
Before we compare the values of the options, we convert the decimals to fractions.
5.4 becomes 54/10
6.25 becomes 625/100
Thus, the set of fractions is 11/2, 54/10, 13/3, 625/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.
11/2*300=1650
54/10*300=1620
13/3*300=1300
625/100*300=1875
From the above, 1875 is the greatest value which corresponds to 6.25. Therefore, 6.25 is the greatest value of all the choices given.
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Q #2: An athlete runs 5 miles in 25 minutes and then changes their pace to run the next 3 miles in 15 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?
A. 7 minutes
B. 5 minutes
C. 6.5 minutes
D. 8.5 minutes
Answer Explanation
to find the average time the athlete runs in 1 mile, find total time divided by total distance covered in the two runs.
Total distance=5+3=8 miles
Total time=25+15=40 minutes
We now know that the athlete runs 8 miles in 40 minutes, so the time the athlete will run in 1 mile will be:
In 5 minutes, the athlete runs 1 mile.
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Q #3: A student performs the following estimations. 35+192 230 258+350 610 947+1032 1980 Based on these estimations, which of the following is the student’s estimate of 694+7618?
A. 8320
B. 8500
C. 8300
D. 8310
Answer Explanation
Here we need to find the actual values of the additions and see the trend the student will use to estimate the given problem. The exact sum is as follows
35+192=227
258+350=608
947+1032=1979
From the above calculations, it is evident that the student rounds up or down the ones place values. So, in the problem we need to approximate 694+7618.
694+7618=8312
We can approximate 8312 based on the provided choices is 8310.
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Q #4: Which of the following relationships represents a no correlation between two variables?
A. As a student’s class attendance decreases, the student’s overall grade remains the same
B. As the number of hours a person exercises decreases, the weight of that person increases
C. As the number of miles driven increases, the amount of the gasoline in the tank decreases
D. As the amount of water plant receives increases, the growth rate of the plant increase.
Answer Explanation
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a negative correlation
Option c is a negative correlation
Option d is a positive correlation
Thus, the correct statement is a.
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Q #5: Which of the following is the greatest value?
A. 43÷55
B. 5/7
C. 0.729
D. 73%
Answer Explanation
we are asked to find the largest value from the options given. To solve this problem, we need to convert all the given values into fraction. Then find the least common denominator for all fractions, which we will use to multiply each fraction and make a comparison.
43÷
55=43/555/7
0.729=729/1000
73%=73/100
Now, we need to find the least common denominator of 55, 7, 1000, and 100, which is 77000. We multiply each fraction by 77000 as follows:
43/55*77000=60200
5/7*77000=55000
729/1000*77000=56133
73/100*77000=56210
From the calculated values, it can be noted that 43/55 is the greatest value among the given options.
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Q #6: If a box of 55 syringes costs $660.00, which of the following is the cost of four syringes?
A. $51.00
B. $26.00
C. $32.00
D. $48.00
Answer Explanation
: the question requires we find the cost of four syringes.
If we let x be the cost of four syringes, then we set up a proportion equation with cost as numerator and number of syringes as denominator. The proportion equation becomes
Cross-multiply to solve for x
Rearranging the above
Divide both sides of the equation by 55
Thus, the cost of 4 syringes is $48.
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Q #7: How many feet are in 9 yards?
A. 45 ft
B. 18 ft
C. 36 ft
D. 27 ft
Answer Explanation
The interconversion of yards to feet utilizes the relationship 1 yard =3 feet. Then, 9 yards to ft becomes
tThere, 9 yards is equal to 27 ft.
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Q #8: Which of the following is the equivalence in pounds for 45 kg? (2.2 lb =1 kg)
A. 120 lb
B. 89 lb
C. 99 lb
D. 90 lb
Answer Explanation
We asked to convert kg to pounds. There are two ways of converting between kg and pounds
And
Since we are to find pounds, we use the second option for kg to cancel
The pound equivalent of 45 kg is 99 lb.
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Q #9: A sweater that normally sells for $78 is marked 15% off. Which of the following estimates the sale price of the sweater?
A. $12
B. $66
C. $22
D. $69
Answer Explanation
we are to find the selling price of the sweater from the marked price and the discount. The marked price is given as
Discount=mark off rate*original price
Discount=15%*$78
Convert 15% into a fraction, which become 15/100=0.15. Then
Discount=0.15*$78=$11.70
The selling price of the sweater will be the original price less the discount or mark off value. Then,
Thus, the approximate selling price of the sweater is $66.
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Q #10: The scatter plot below shows the relationship between the student’s exam scores and the students’ heights. Which of the following types of correlation is shown on the scatter plot?
A. Positive
B. Positive and negative
C. Negative
D. No correlation
Answer Explanation
correlations fall into positive, negative, and no correlation. A positive correlation shows that an increase in one variable increase results in an increase on the other variable increases as shown.
A negative correlation scatter plot shows that an increase in one variable results in a decrease on the other one.
The no-correlation scatter plot demonstrates that there is no response between variables. A change in one variable has no effect on the other variable.
Looking at the provided scatter plot, the heights of the students does not have any relationship on the students’ scores. Thus, the type of correlation is no correlation.
