Jacob has $100. She spends 87% of the money. She then invests the remaining amount and earns a profit of 75%. How much money does she now have?
A. $13.00
B. $87.00
C. $22.75
D. $9.75
We are needed to find the amount Jacob will be left with after spending and reinvesting the rest using the given information.
Amount Jacob spends=87% of $100=87/100*100=$87
Amount left to invest=$(100-87)=$13
Jacob is left with $13, which she invests and earns a profit of 75%.
Profit earned on invested amount=75% of $13=75/100*13=$9.75
So, Jacob will have $13+$9.75=$22.75
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: 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 #2: 3(2x+5)=11x+5 Solve the equation above for x. Which of the following is correct?
A. 1
B. 2
C. -1
D. -2
Answer Explanation
We follow the order operations to solve for the unknown value of x.
3(2x+5)=11x+5
Open the bracket on the LHS by multiplying each term by 3
(3*2x)+(3*5)=11x+5
6x+15=11x+5
Subtract 15 from both sides
6x+15-15=11x+5-15
6x=11x-10
Subtract 11x on both sides
6x-11x=11x-11x-10
-5x=-10
Divide both sides by -5
-5x/-5=-10/-5
x= 2
Thus, the value of unknown value of x is 2.
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Q #3: A couple dining at a restaurant receives a bill for $58.60. They wish to leave a 16% gratuity. Which of the following is the estimated gratuity?
A. $8.48
B. $6.40
C. $9.38
D. $7.00
Answer Explanation
In this problem, we need to find the amount of gratuity the couple will leave. The gratuity is 16% of the total bill. Before solving the problem, the following are terms and their meaning in percent problems:
- Is means equals
- Of means multiply
- What means unknown (variable)
If we let x be the amount of gratuity, then translating the given problem into a mathematical equation becomes:
So, the value of x=9.376 and to the nearest cent, x=9.38
There, a couple will leave a gratuity of $9.38.
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Q #4: Jacob has $100. She spends 87% of the money. She then invests the remaining amount and earns a profit of 75%. How much money does she now have?
A. $13.00
B. $87.00
C. $22.75
D. $9.75
Answer Explanation
We are needed to find the amount Jacob will be left with after spending and reinvesting the rest using the given information.
Amount Jacob spends=87% of $100=87/100*100=$87
Amount left to invest=$(100-87)=$13
Jacob is left with $13, which she invests and earns a profit of 75%.
Profit earned on invested amount=75% of $13=75/100*13=$9.75
So, Jacob will have $13+$9.75=$22.75
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Q #5: A circle has an area of 121π in2. Which of the following is the circumference of the circle in terms of pi (π)?
A. 11 π in
B. 22 π in
C. 44 π in
D. 5.5 π in
Answer Explanation
To solve this problem, first find the radius of the circle.
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Q #6: A couple dining at a restaurant receives a bill for $28.40. They wish to leave a 10% tip. Which of the following is the estimated gratuity?
A. $4.00
B. $6.00
C. $2.50
D. $3.00
Answer Explanation
When solving percent problems, the following words and their meaning becomes handy.
- Is means equals
- Of means multiply
- What means unknown (variable)
If we let x represent the amount of tip the couple want to leave behind, then
So, the couple will leave a tip of $2.84, which is about $3.00
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Q #7: Which of the following statements is true about the graph?
A. The Chargers points per game decreased between seasons seven times between 1996 and 2015
B. The Chargers scored their lowest number of points per game in 2003-04 season
C. The Chargers scored their greatest number of points per game in the 2006-07 season
D. The Chargers points remained unchanged in the seasons 2012-13 and 2013-14.
Answer Explanation
Looking at the give curve, we analyze each statement as:
- For statement 1: the points per game decreased five times between 1996 and 2015. So, the statement is false.
- For statement 2: the lowest points scored per game was in 1998-99 season and not in 2003-04 season. So, the statement is false.
- For statement 3: 2008-09 was the season the chargers scored the greatest number of points per game. So, this statement is false.
- For statement 4: the two season which no change in the points were 2012-13 and 2013-14. So this is true according to given curve.
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Q #8: A large pizza has a diameter of 9 inches. Which of the following is the area of the pizza in terms of pi ()?
A. 11.25 πin2
B. 29.57 πin2
C. 18.35 πin2
D. 20.25 πin2
Answer Explanation
We need to find the radius in order to find the area of the pizza.
Radius of pizza
The area of the pizza
But r=4.5
Thus, the area of the pizza is 20.25
in2.NOTE:
is used as is since values of pi may vary e.g. 3.14, 3.142, 22/7. Hence we use pi symbol to generalize. -
Q #9: 3(x-2)=12 Solve the equation above for x. Which of the following is the correct answer?
A. 6
B. -2
C. -4
D. 2
Answer Explanation
: In order to solve for the value of x, we use the order of operations as follows:
The first step is to divide both sides by 3
Add 2 to both sides to eliminate it from the left-hand side of the equation
x-2+2=4+2
x = 6
Thus, the value of x is 6.
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Q #10: A class of 48 students has 22 boys and 26 girls. What is ratio of girls to boys in the class?
A. 26:11
B. 13:11
C. 13:22
D. 11:13
Answer Explanation
: a ratio can be thought of a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.
Now, the class has 26 girls and 22 boys. Thus, the ratio of girls to boys becomes:
The fraction above reduces into
In ratio form, girls: boys=13:11
Thus, the ratio of girls to boys in a class of 48 students is 13 to 11.
