Question

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 they 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:

Answer 1

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