Juanita goes through 1 bottle of sunscreen a month. She likes to stock up for the entire year when a certain website offers 30% off her entire purchase. If each bottle is $30.00 how much will all of the sunscreen cost after the discount?

How many bottles does Juanita need? ** She goes through 1 bottle a month and she likes to stock up for the entire year, which is 12 months so she needs 1*12 =

<<1*12=12>>12 bottles How much will the bottles cost? ** Each bottle is $30.00 and she needs 12 bottles so they will cost 30*12 = $<<30*12=360.00>>360.00 How much will the discount be? ** The website offers a 30% discount off of her $360.00 purchase so the discount will be .30*360 = $<<30*.01*360=108.00>>108.00 How much will all of the sunscreen cost after the discount? ** Her sunscreen costs $360.00 and her discount is 108.00 making her purchase total 360-108 = $<<360-108=252.00>>252.00 #### 252 Michael is stuck in an elevator that is slowly moving to the bottom floor. The elevator needs to move down 20 floors to reach the bottom. It takes 15 minutes for the elevator to travel down the first half of the floors. The elevator then takes 5 minutes per floor to travel down the next 5 floors. It then takes 16 minutes per floor for the elevator to finish traveling down the final 5 floors. In hours, how long did it take for the elevator to reach the bottom? How many minutes does it take the elevator to lower 5 floors? ** Over 5 of the floors, it takes the elevator 5 floors * 5 minutes per floor = <<5*5=25>>25 minutes to lower. How many minutes does it take the elevator to lower the final 5 floors? ** Over the final 5 floors, it takes the elevator 5 floors * 16 minutes per floor = <<5*16=80>>80 minutes to lower. How many minutes does it take the elevator to lower to the bottom? ** So in total, the elevator takes 15 minutes in the first half + 25 minutes in the next five floors + 80 minutes in the final five floors = <<15+25+80=120>>120 minutes to lower to the bottom. How long did it take the elevator to reach the bottom? ** This is the same as 120 minutes / 60 minutes per hour = <<120/60=2>>2 hours. #### 2 Mark went to a store where he spent one-half of his money, and then spent $14 more. He then went to another store where he spent one-third of his starting money, and then spent $16 more. If he then had no money left, how much did he have when he entered the first store? How much did Mark spend in the first and second store? ** Let X be the money Mark had. Mark spent 1/2*X + 14 in the first store and 1/3*X + 16 in the second store. How much money does Mark have left? ** Mark has X - 1/2*X - 14 - 1/3*X - 16 = $0 left. How much money does Mark have left? ** Combining like terms, we get 1/6*X - 30 = $0. How much money did Mark have when he entered the first store? ** Adding 30 to both sides and multiplying both sides by 6, we find that Mark had X = $180 when he entered the first store. #### 180 James won a money prize at a charity raffle. He donated half of his winnings back to the charity, then spent $2 on a hot dog to celebrate his win. He had $55 left over. How many dollars did he win? Define a variable ** Let W be equal to James’s raffle winnings. How much did James donate? ** He donated half his winnings, so he had W - W/2 = W/2 left. How much did James spend? ** He then spent $2 on a hot dog, so W/2 - 2 = $55. How much did James donate? ** Thus, half his winnings is W/2 = 55 + 2 = <<55+2=57>>57. How much did James win? ** James won W = 57 * 2 = $<<57*2=114>>114. #### 114 Jenny is trying to convince her cat to walk on a leash. The cat spends twenty minutes resisting. Then Jenny coaxes the cat to walk 64 feet at a rate of 8 feet/minute. How many minutes does this whole process take? How many minutes does the cat walk? ** First find how many minutes the cat spends walking: 64 feet / 8 feet/minute = <<64/8=8>>8 minutes How many minutes does the cat spend resisting? ** Then add this to the time the cat spent resisting to find the total amount of time: 8 minutes + 20 minutes = <<8+20=28>>28 minutes #### 28 Dane’s two daughters need to plant 5 flowers each to grow a garden. As the days passed, the flowers grew into 20 more but 10 of them died. Dane’s daughters harvested the flowers and split them between 5 different baskets. How many flowers ended up in each basket? How many flowers did Dane’s daughters plant? ** Two daughters planted 5*2=<<5*2=10>>10 flowers. How many flowers did Dane’s daughters plant? ** The flowers grew into 10+20=<<10+20=30>>30 total. How many flowers were left after 10 died? ** 30-10=<<30-10=20>>20 flowers were left after 10 died. How many flowers did Dane’s daughters put in each basket? ** The daughters put 20/5=<<20/5=4>>4 flowers in each basket. #### 4 Lexie is 6 years older than her brother and her sister is twice her age. If Lexie is 8, what is the age difference between her brother and her sister? How old is Lexie's brother? ** Lexie's brother is 8 - 6 = <<8-6=2>>2 years old. How old is Lexie's sister? ** Her sister is 8 x 2 = <<8*2=16>>16 years old. What is the age difference between her brother and sister? ** The age difference between her brother and sister is 16 - 2 = <<16-2=14>>14 years. #### 14 Mark spent 220 dollars to fix his car. It needed two parts that cost 20 dollars each, and labor cost .5 dollars a minute. How many hours did the mechanic work? How much does labor cost? ** Labor cost is .5*60=<<.5*60=30>>30 dollars per hour How much do the parts cost? ** The cost for parts is 20*2=$<<20*2=40>>40 How much does the mechanic cost? ** The total cost for labor is 220-40=$<<220-40=180>>180 How many hours did the mechanic work? ** He spent 180/30=<<180/30=6>>6 hours on labor. #### 6 A pen is longer than the rubber by 3 centimeters, and shorter than the pencil by 2 centimeters. Considering the pencil is 12 centimeters long, what is the total length of the rubber, the pen, and the pencil altogether? How long is the pen? ** The pen is shorter than the pencil by 2 centimeters, so it's 12 - 2 = <<12-2=10>>10 centimeters long. How long is the rubber? ** That means the rubber is 10 - 3 = <<10-3=7>>7 centimeters long What is the total length of the rubber, the pen, and the pencil altogether? ** So all accessories are 7 + 10 + 12 = <<7+10+12=29>>29 centimeters long altogether. #### 29 There are 20 bicycles, 10 cars and 5 motorcycles in the garage at Connor's house. How many wheels are there in the garage? How many bicycle wheels are there? ** The number of bicycle wheels is 2 × 20 = <<2*20=40>>40. How many car wheels are there? ** The number of car wheels is 4 × 10 = <<4*10=40>>40. How many motorcycle wheels are there? ** The number of motorcycle wheels is 2 × 5 = <<2*5=10>>10. How many wheels are there in the garage? ** There are 40 + 40 + 10 = 90 wheels in the garage. #### 90