Question

Danielle wants to buy a video game. At the local Big Box store, it costs $49.95. Danielle has a coupon for 10% off at the store, and she will pay a 6.5% sales tax.

A. How much will the total cost be at the local store?
At an online store, the game is $44.95, with $4.00 shipping charge and no sales tax.
B. How much will the total cost at the online store be?
C. Which store would be cheaper?

Answer 1

A. $48.2

B. 48.95

C. Local store will be cheaper

Explanation:

According to given data, first we need to calculate the price at local store

Standard price at local store = $49.95

Now 10% off with coupon is "a"

(a/49.95)x100 = 10 (calculating by standard formula of percentage)

a = (10x49.95)/100

a = $4.99

Now calculating sales tax "b" with standard formula of percentage

(b/49.95)x100 = 6.5

b = (49.95x6.5)/100

b = $3.24

Now we know that final cost of video game from local shop is equal to

Standard price + sales tax - Discount

Standard price + b - a

= 49.95 + 3.24 - 4.99

= $48.2

Now if buy online

Standard price = $44.95

Shipping charges = $4.00

So total price will be sum of standard price and shipping charges

Price online = 44.95 + 4.00

Price online = $48.95

So if Danielle purchase video game from local store, it will be cheaper.

Answer 2

Here are the answers to the questions above. Given the problem, let us solve first for the cost of each store. At a local store, it costs $49.95. Since she has a 10% off discount, the amount that she will be paying is $44.955. Since, there is a 6.5% tax, the total amount she will be paying is $48.20. Now, for the online store, it costs $44.95 plus a shipping charge of $4.00 so the total would be $48.95. Given these results, it would be cheaper if she buys in the local store. Hope this helps.