Question

shona is buying a rug for her room. store a has the rug for $45 with a 10% discount. store b has the same rug for $46 and is offering a $10 off coupon. the sales tax is 6% on either purchase. if shona only has $40 to spend, which store will she purchase the rug from, and how much will she have left over?
○ shona can afford the rug in store a. she will have $2.93 left over.
○ shona can afford the rug in store b. she will have $1.84 left over.
○ shona can afford the rug in store b. she will have $2.93 left over.
○ shona can afford the rug in store a. she will have $1.84 left over.

Explanation:

Step1: Calculate cost from Store A

First, find the discounted price: $45 - 10\%$ of $45$. 10% of 45 is $0.10\times45 = 4.5$, so discounted price is $45 - 4.5 = 40.5$. Then add 6% sales tax: 6% of 40.5 is $0.06\times40.5 = 2.43$. Total cost: $40.5 + 2.43 = 42.93$? Wait, no, wait. Wait, 10% discount on $45: $45(1 - 0.10) = 450.9 = 40.5. Then tax is 6% on 40.5: 40.51.06 = 40.5 + 40.50.06 = 40.5 + 2.43 = 42.93? But Shona has $40. Wait, that can't be. Wait, maybe I made a mistake. Wait, no, wait the options: let's recalculate. Wait, maybe I messed up. Wait, Store A: $45 with 10% discount. So discount is 10% of 45: $4.5, so price before tax is 45 - 4.5 = 40.5. Then tax is 6% of 40.5: 40.5 * 0.06 = 2.43. So total is 40.5 + 2.43 = 42.93? But that's more than 40. Wait, that's not possible. Wait, maybe Store B: $46 with $10 off: 46 - 10 = 36. Then tax: 36 * 0.06 = 2.16. Total: 36 + 2.16 = 38.16. Then 40 - 38.16 = 1.84. Wait, but the options: let's check again. Wait, maybe I miscalculated Store A. Wait, 10% discount on $45: 450.9 = 40.5. Tax: 40.51.06 = 42.93. Which is more than 40. So Store B: 46 - 10 = 36. Tax: 360.06 = 2.16. Total: 36 + 2.16 = 38.16. Then 40 - 38.16 = 1.84. So the correct option is "Shona can afford the rug in store B. She will have $1.84 left over." Wait, but let's check the options again. The second option: "Shona can afford the rug in store B. She will have $1.84 left over." So that's the answer. Wait, but my initial calculation for Store A was wrong? Wait, no, 450.9 is 40.5, plus tax 2.43 is 42.93, which is more than 40, so she can't afford Store A. So Store B: 46 -10 = 36. Tax: 36*0.06 = 2.16. Total 38.16. 40 - 38.16 = 1.84. So the correct option is B: Shona can afford the rug in store B. She will have $1.84 left over.

Answer:

B. Shona can afford the rug in store B. She will have $1.84 left over.