1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iragen [17]
3 years ago
7

A video game is on sale at Amazon for 30% off the original price of $28.50. Both Pat and Henri want to purchase the game, but th

ey only have $22 each. They each have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game. Pat takes 30% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay. Henri finds 70% of the original price and then calculates 110% of the sale price. Will Pat's strategy calculate the correct total? Explain the calculations. Will Henri's strategy calculate the correct total? Explain the calculations. Do they each have enough to purchase the game?
Explain your answers using complete sentences and show your work. (10 points)

Your answer:
Mathematics
1 answer:
DanielleElmas [232]3 years ago
5 0

Answer:

Step-by-step explanation:

Explanation:

Step one:

The original price of the video game= $28.5

Cash at hand= $22

Discount= 30%

Tax= 10%

1. Pat's strategy

Amount discounted

=30/100*28.5

=0.3*28.5

=$8.55

28.5-8.55

=$19.95

Amount of tax added

=10/100*28.5

=0.01*28.5

=2.85

=17.15+2.85

=$22.8

Hence going by Pat's strategy, the total amount to be paid is

=$22.8

2. Henri's strategy

=70/100*28.5

=0.70*28.5

=$19.95

110% of $28.5

=110/100*28.5

=1.1*28.5

=$31.35

the tax is

31.35-28.5

=$2.85

i. Hence by Henri's strategy, the sales price with tax is

=19.95+2.85

=$22.8

ii. Yes Pat's strategy will compute the correct total,

   30% of $28.5 is $8.55 which is the amount to be deducted as a discount

   10% of $28.5 is $2.85 which is the amount to be added as tax

    Hence the total amount to be paid is $22.8

iii  Yes Henri's strategy also gave the correct total

  70% of 28.5 is $19.95

  110% of 28.5 of tax is the same as adding 10% of 28.5 to 28.5

   = 31.35, substracting the original price we got the tax added

    which is $2.85

iv. No, they both don't have enough money to purchase the video game,

  because they only have $22and the game is to be sold for $22.8

You might be interested in
Jaquin would like to install a rug in her square living room. Her living room has an area of 121 square feet. What should the si
Amanda [17]

Answer:

11 feet

Step-by-step explanation:

All the sides of a square are equal

the area of a square = length²

121 ft² = length²

to determine the length find the square root of the area, 121

√121 = 11 feet

7 0
3 years ago
8x-3x=5x^2 show work
eimsori [14]

8x-3x=5x^2\\5x=5x^2\\x=x^2\\x=1

6 0
4 years ago
Read 2 more answers
Need help with this here someone?!
frez [133]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
Can you solve this questions please ??
miskamm [114]
#10:
15·12=180
180÷3=60
60·22=1,320
3 0
4 years ago
Determine the surface area of the rectangular prism below
Margaret [11]
Were is the rectangle
4 0
3 years ago
Read 2 more answers
Other questions:
  • The width of a plant cell is approximately 0.00001276 meter. Use scientific notation to write the width of the plant cell. NEED
    14·1 answer
  • 5 whole numbers are written in order, 4, 6, x, y, 10. The mean and median of the 5 numbers are the same so what are the values o
    10·1 answer
  • Emily is dividing 15 pounds of jelly beans into 3 4 lb. Bags. How many individual bags will she need for all of the jelly beans?
    8·1 answer
  • Find the percent markdown rounded to the nearest percent
    10·1 answer
  • 1. 10 is the geometric mean between 2 and ?..​
    11·1 answer
  • Question 1<br> Determine the midpoint of the segment with endpoint (-9,3) and (7,-8).<br> Question 2
    7·2 answers
  • I really need help with this ?
    12·1 answer
  • Which of the following equations represent linear functions?
    8·1 answer
  • A company made $785 in a ticket sale they sold 100 tickets how much did the company make per ticket if each ticket cost the same
    9·1 answer
  • What is an angle that is supplementary to
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!