Question

1. the regular price of a laptop is $800. as part of a holiday sale, three stores are offering the laptop at a discounted price. - store a is offering 8% off the price of the laptop. - store b is offering $75 off the price of the laptop - store c is offering a \\(\frac{1}{10}\\) discount off the price of the laptop. mara wants to buy the laptop while its on sale. at which store should she purchase the laptop? a. store a, because the laptop has the best sale price of $736 b. store b, because the laptop has the best sale price of $725 c. store c, because the laptop has the best sale price of $720 d. store a, because the laptop has the best sale price of $700 2. christopher wants to buy 6 chairs for his dining room table. he plans to purchase these chairs at one of four furniture stores that have ongoing sales. the different prices and advertised sales for the chairs are shown in this table: | store | price per chair | advertised sale | |---|---|---| | a | $120 | buy 6 chairs and receive a $40 discount on each chair | | b | $150 | buy 6 chairs and receive $350 off the total price | | c | $220 | buy 2 chairs and get the 3rd chair free | | d | $110 | buy 6 chairs and receive 20% off the total price | based on the information in the table, at which store will christopher pay the least for 6 chairs? a. store a b. store b c. store c d. store d 3. of the 450 people at the park, 28% are adults over the age of 50. what is the total number of adults over 50 at the park? a. 422 b. 126 c. 324 d. not here

Explanation:

Question 1

Step1: Calculate sale price for Store A

The discount is 8% off, so the sale price is \( 800\times(1 - 0.08) = 800\times0.92 = 736 \)

Step2: Calculate sale price for Store B

Subtract $75 from the regular price: \( 800 - 75 = 725 \)

Step3: Calculate sale price for Store C

The discount is \( \frac{1}{10} \) off, so the sale price is \( 800\times(1 - \frac{1}{10}) = 800\times\frac{9}{10} = 720 \)

Step4: Compare the sale prices

Store A: $736, Store B: $725, Store C: $720. The lowest price is $720 at Store C.

Step1: Calculate total for Store A

Price per chair is $120, discount $40 per chair. So per chair cost: \( 120 - 40 = 80 \). Total for 6 chairs: \( 6\times80 = 480 \)

Step2: Calculate total for Store B

Price per chair $150, total for 6 chairs: LXI0. Subtract $350 discount: \( 900 - 350 = 550 \)

Step3: Calculate total for Store C

Buy 2 get 3rd free. For 6 chairs, number of free chairs: \( \lfloor\frac{6}{3}
floor = 2 \). So number of paid chairs: \( 6 - 2 = 4 \). Total: \( 4\times220 = 880 \)

Step4: Calculate total for Store D

Price per chair $110, total for 6 chairs: \( 6\times110 = 660 \). 20% off, so sale price: \( 660\times(1 - 0.2) = 660\times0.8 = 528 \)

Step5: Compare totals

Store A: $480, Store B: $550, Store C: $880, Store D: $528. The lowest total is $480 at Store A.

Step1: Calculate 28% of 450

\( 450\times0.28 = 126 \)

Answer:

C. Store C, because the laptop has the best sale price of $720

Question 2