Mathematical Problem Sets for Everyday Scenarios
Provides mathematical problem sets.
Ethan Wilson
Contributor
5.0
35
1 day ago
Preview (3 of 9)
Sign in to access the full document!
Mathematical Problem Sets for Everyday Scenarios
Performance model
1. If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?
A: The following proportion may be written: 1/p=x/5. Solving for the variable, x, gives xp =
5, where x=5/p. So, Lynn can type 5/p pages, in 5 minutes.
A. 5/p
2. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how
long will it take for both of them to paint the house together?
A. 2 hours and 24 minutes2. A: Sally can paint 1/4 of the house in 1 hour. John can paint 1/6
of the same house in 1 hour. In order to determine how long it will take them to paint the
house, when working together, the following equation may be written: 1/4 x+1/6 x=1. Solving
for x gives 5/12 x=1, where x = 2.4 hours, or 2 hours, 24 minutes.
1 + 1= 2
4 * 6=24/2=12*2=24
3. Employees of a discount appliance store receive an additional 20% off of the lowest price
on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he
pay if the dishwasher originally cost $450? D: Sale Price = $450 - 0.15($450) = $382.50,
Employee Price = $382.50 - 0.2($382.50) = $306
450*.15=67.50 382.50*.20=76.50 =306.
4. The sales price of a car is $12,590, which is 20% off the original price. What is the original
price? (Original Price) = 0.8(Original Price), Original Price = $12,590/0.8 = $15,737.50
D. $15,737.50
5. Solve the following equation for A : 2A/3 = 8 + 4A
A: In order to solve for A, both sides of the equation may first be multiplied by 3. This is
written as 3(2A/3)=3(8+4A) or 2A=24+12A. Subtraction of 12A from both sides of the
equation gives -10A=24. Division by -10 gives A = -2.4.A. -2.4
6. If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their
ages is 41. Then how old is Sue?
A. 8
7. Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will
he receive?
E. $1,200
Performance model
1. If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?
A: The following proportion may be written: 1/p=x/5. Solving for the variable, x, gives xp =
5, where x=5/p. So, Lynn can type 5/p pages, in 5 minutes.
A. 5/p
2. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how
long will it take for both of them to paint the house together?
A. 2 hours and 24 minutes2. A: Sally can paint 1/4 of the house in 1 hour. John can paint 1/6
of the same house in 1 hour. In order to determine how long it will take them to paint the
house, when working together, the following equation may be written: 1/4 x+1/6 x=1. Solving
for x gives 5/12 x=1, where x = 2.4 hours, or 2 hours, 24 minutes.
1 + 1= 2
4 * 6=24/2=12*2=24
3. Employees of a discount appliance store receive an additional 20% off of the lowest price
on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he
pay if the dishwasher originally cost $450? D: Sale Price = $450 - 0.15($450) = $382.50,
Employee Price = $382.50 - 0.2($382.50) = $306
450*.15=67.50 382.50*.20=76.50 =306.
4. The sales price of a car is $12,590, which is 20% off the original price. What is the original
price? (Original Price) = 0.8(Original Price), Original Price = $12,590/0.8 = $15,737.50
D. $15,737.50
5. Solve the following equation for A : 2A/3 = 8 + 4A
A: In order to solve for A, both sides of the equation may first be multiplied by 3. This is
written as 3(2A/3)=3(8+4A) or 2A=24+12A. Subtraction of 12A from both sides of the
equation gives -10A=24. Division by -10 gives A = -2.4.A. -2.4
6. If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their
ages is 41. Then how old is Sue?
A. 8
7. Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will
he receive?
E. $1,200
Preview Mode
Sign in to access the full document!
100%
Study Now!
XY-Copilot AI
Unlimited Access
Secure Payment
Instant Access
24/7 Support
Document Chat
Document Details
Subject
Mathematics