Maths-
General
Easy
Question
Ken is working this summer as part of a crew on a farm. He earned $8 per hour for the first 10 hours he worked this week. Because of his performance, his crew leader raised his salary to $10 per hour for the rest of the week. Ken saves 90% of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least $270 for the week?
- 38
- 33
- 22
- 16
The correct answer is: 22
HINT – Form an inequality between total earnings and money saved every week
SOLUTION - According to question, salary earned for first 10 hours in the
week = $ 8 10
= $ 80
Let work hours for the rest of the week = x
Money earned for the rest of the week = $ 10 x
= $ 10x
Total earnings of the week = $ 80 + 10 x
Percentage of his earnings he saved every week = 90 %
i.e. 90% of total earnings = money saved
Since Ken saved atleast $ 270 in this week
90% of (80 + 10x) ≥ 270
(80 + 10x ) ≥ 270
(80 + 10x ) ≥ 270
9 (80 + 10x) > 2700
720 + 90x ≥ 2700
90x ≥ 2700 - 720
90x > 1980
x > 22
So, no of hours he should at least work is 22 hours
Hence, option C is correct
Related Questions to study
Maths-
During a sale, the cost of each shirt is $ 15 and that of each pair of pants is $ 25. Geoff can spend at most $ 120 at the store. If Geoff buys s shirts and p pairs of pants, which of the following must be true?
During a sale, the cost of each shirt is $ 15 and that of each pair of pants is $ 25. Geoff can spend at most $ 120 at the store. If Geoff buys s shirts and p pairs of pants, which of the following must be true?
Maths-General
Maths-
Blood volume, VB , in a human can be determined using the equation
, where VP is the plasma volume and H is the hematocrit (the fraction of blood volume that is red blood cells). Which of the following correctly expresses the hematocrit in terms of the blood volume and the plasma volume ?
Blood volume, VB , in a human can be determined using the equation
, where VP is the plasma volume and H is the hematocrit (the fraction of blood volume that is red blood cells). Which of the following correctly expresses the hematocrit in terms of the blood volume and the plasma volume ?
Maths-General
Maths-
x2 + 6x + 4 Which of the following is equivalent to the expression above?
x2 + 6x + 4 Which of the following is equivalent to the expression above?
Maths-General
Maths-
A company that makes wildlife videos purchases camera equipment for $32,400. The equipment depreciates in value at a constant rate for 12 years, after which it is considered to have no monetary value. How much is the camera equipment worth 4 years after it is purchased?
A company that makes wildlife videos purchases camera equipment for $32,400. The equipment depreciates in value at a constant rate for 12 years, after which it is considered to have no monetary value. How much is the camera equipment worth 4 years after it is purchased?
Maths-General
Maths-
In the figure above, line t intersects lines and k. Which of the following statements, if true, would imply that lines and k are parallel?
In the figure above, line t intersects lines and k. Which of the following statements, if true, would imply that lines and k are parallel?
Maths-General
Maths-
If f( x) = , what is f(-1) ?
If f( x) = , what is f(-1) ?
Maths-General
Maths-
T = 1,000 + 18 h
Where,
T = Brittany's total take-home pay ($) for the first week of work
h = number of hours she worked that week
1,000 = sign-on bonus
If Brittany's total take-home pay was $ 1,576, for how many hours was Brittany paid for her first week of work?
T = 1,000 + 18 h
Where,
T = Brittany's total take-home pay ($) for the first week of work
h = number of hours she worked that week
1,000 = sign-on bonus
If Brittany's total take-home pay was $ 1,576, for how many hours was Brittany paid for her first week of work?
Maths-General
Maths-
Terrence's car contains 8 gallons of fuel. He plans to drive the car m miles using the fuel currently in the car. If the car can drive 20 miles per gallon of fuel, which inequality gives the possible values of m?
Terrence's car contains 8 gallons of fuel. He plans to drive the car m miles using the fuel currently in the car. If the car can drive 20 miles per gallon of fuel, which inequality gives the possible values of m?
Maths-General
Maths-
Which of the following complex numbers is equal to is
( 5 + 12i ) – ( 9i2 – 6i ), for i = ?
Which of the following complex numbers is equal to is
( 5 + 12i ) – ( 9i2 – 6i ), for i = ?
Maths-General
Maths-
For the linear function h, the table above shows several values of x and their corresponding values of h(x). Which of the following defines h ?
For the linear function h, the table above shows several values of x and their corresponding values of h(x). Which of the following defines h ?
Maths-General
Maths-
x = y – 3
+ 2y = 6
Which ordered pair (x, y) satisfies the system of
equations shown above?
x = y – 3
+ 2y = 6
Which ordered pair (x, y) satisfies the system of
equations shown above?
Maths-General
Maths-
Tony spends $ 80 per month on public transportation. A 10- ride pass costs $ 12.50, and a single-ride pass costs $ 1.50. If g represents the number of 10-ride passes Tony buys in a month and t represents the number of single- ride passes Tony buys in a month, which of the following equations best represents the relationship between g and t?
Tony spends $ 80 per month on public transportation. A 10- ride pass costs $ 12.50, and a single-ride pass costs $ 1.50. If g represents the number of 10-ride passes Tony buys in a month and t represents the number of single- ride passes Tony buys in a month, which of the following equations best represents the relationship between g and t?
Maths-General
Maths-
Which of the following is equivalent to 3 (x + 5) − 6 ?
Which of the following is equivalent to 3 (x + 5) − 6 ?
Maths-General
Maths-
If 3 (3x + 5) = 2x - 8 , what is the value of x ?
If 3 (3x + 5) = 2x - 8 , what is the value of x ?
Maths-General
Maths-
x + = 75 y
The equation above relates the number of minutes, x, Maria spends running each day and the number of minutes, y, she spends biking each day. In the equation, what does the number 75 represent?
x + = 75 y
The equation above relates the number of minutes, x, Maria spends running each day and the number of minutes, y, she spends biking each day. In the equation, what does the number 75 represent?
Maths-General