Question

Question 1 (10 points) (03.01 MC) A video game is on sale at Amazon for 15% off the original price of $24.50. Both Pat and Henri want to purchase the game, but they only have $21 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 15% of $24.50 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 85% of the original price and then calculates 110% of the sale price. What is the sale price of the video game with tax? (1 point) Will Pat's strategy calculate the correct total? Explain the calculations. (2 points) Will Henri's strategy calculate the correct total? Explain the calculations. (2 points) Do they each have enough to purchase the game? (2 points) Explain your answers using complete sentences and show your work. (3 points)

Answer 1

Step-by-step explanation:

Step one:

The original price of the video game= $24.5

Cash at hand= $21

Discount= 15%

Tax= 10%

1. Pat's strategy

Amount discounted

=15/100*24.5

=0.015*24.5

=$3.675

24.5-3.65

=$20.825

Amount of tax added

=10/100*24.5

=0.01*24.5

=2.45

=20.825+2.45

=$23.275

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

=$23.275

2. Henri's strategy

=85/100*24.5

=0.85*24.5

=$20.825

110% of $24.5

=110/100*24.5

=1.1*24.5

=$26.95

the tax is

26.95-24.5

=$2.45

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

=20.825+2.45

=$$23.275

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

15% of $24.5 is $3.68 which is the amount to be deducted as a discount

10% of $24.5 is $2.45 which is the amount to be added as tax

Hence the total amount to be paid is $23.27

iii Yes Henri's strategy also gave the correct total

85% of 24.5 is $20.825

110% of 24.5 of tax is the same as adding 10% of 24.5 to 24.5

= 26.95, substracting the original price we got the tax added

which is $2.45

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

because they only have $21 and the game is to be sold for $23.275