A company was contracted to construct three buildings, with the second building being two times as tall as the first building. The third building had to be three times as tall as the combined height of the first and second buildings. If the first building was 600 feet, calculate the total height of the three buildings together.

The second building is two times as tall as the first building, a total of 600*2 =

<<600*2=1200>>1200 feet. The total height of the first and the second building is 1200+600 = <<1200+600=1800>>1800 feet. The third building is three times as tall as the combined height of the first and second buildings, which is 1800*3 = <<1800*3=5400>>5400 feet. Together, the three buildings have a total height of 5400+1800 = <<5400+1800=7200>>7200 feet. #### 7200 Mary sees a flock of ducks crossing the street. There are 2 ducks with 5 ducklings each, 6 ducks with 3 ducklings each, and 9 ducks with 6 ducklings each. How many ducks and ducklings are there total? First find the total number of ducklings the first two ducks have: 2 ducks * 5 ducklings/duck = <<2*5=10>>10 ducklings Then find the total number of ducklings the next six ducks have: 6 ducks * 3 ducklings/duck = <<6*3=18>>18 ducklings Then find the total number of ducklings the last 9 ducks have: 9 ducks * 6 ducklings/duck = <<9*6=54>>54 ducklings Then add up all the ducks and ducklings to find the total number: 10 ducklings + 18 ducklings + 54 ducklings + 2 ducks + 6 ducks + 9 ducks = <<10+18+54+2+6+9=99>>99 ducks #### 99 Wendy is a fruit vendor, and she sells an apple at $1.50 each and one orange at $1. In the morning, she was able to sell an average of 40 apples and 30 oranges. In the afternoon, she was able to sell 50 apples and 40 oranges. How much are her total sales for the day? There were an average of 40 + 50 = <<40+50=90>>90 apples. And, there were 30 + 40 = <<30+40=70>>70 oranges. Thus, Wendy gained 90 x $1.50 = $<<90*1.5=135>>135 for selling apples. And, she gained an additional 70 x $1 = $<<70*1=70>>70 for selling oranges. Therefore, her total sales for the day is $135 + 70 = $<<135+70=205>>205. #### 205 Steven, Stephanie, and Sonya went ice skating. Steven only fell down 3 times, but Stephanie had 13 more falls than Steven. If Sonya fell down 2 times less than half the number of times Stephanie fell, how many times did Sonya fall? Stephanie fell 13 + 3 = <<13+3=16>>16 times. Half the number of times Stephanie fell is 16/2 = <<16/2=8>>8 times. Sonya fell down 8 - 2 = <<8-2=6>>6 times. #### 6 Jim starts with $80 in his investment portfolio. After 1 year it grows by 15%. He then adds another $28 to his portfolio. After 1 more year the combined portfolio grows by 10%. What is his final portfolio worth after 2 years from when he started? After 1 year Jim has gained $80 * 0.15 = $<<80*0.15=12>>12 Therefore, after 1 year his portfolio has grown to $80 + $12 = $<<80+12=92>>92 He then adds $28 to this total, so his new portfolio total is $92 + $28 = $<<92+28=120>>120 at the beginning of year 2 Next, this total grows by 10%, so he gains $120 * 0.10 = $<<120*0.10=12>>12 across year 2 Thus, after year 2, his portfolio is worth $120 + $12 = $<<120+12=132>>132 #### 132 Donovan Mitchell is currently averaging 26 points per game. His team has played 15 games this season. He has a goal of averaging 30 points per game for the entire 20 game season. How many points does he need to average per game to reach his goal? At this point in the season, Donovan has scored 26 * 15 = <<26*15=390>>390 points. To reach his goal of 30 points per game, he would have to finish the season with a total of 30 * 20 = <<30*20=600>>600 points. For the remaining 5 games, Donovan needs to score 600 - 390 = <<600-390=210>>210 points. Therefore, he needs to average 210 / 5 = <<210/5=42>>42 points per game. #### 42 Nina makes one-of-a-kind jewelry and sells it at a local boutique. She charges $25.00 for her necklaces, $15.00 for bracelets and $10.00 for a pair of earrings. Over the weekend, she sold 5 necklaces, 10 bracelets, 20 earrings, and received 2 orders for a complete jewelry ensemble that Nina charged $45.00 for. How much money did she make over the weekend? She sold 5 necklaces at $25.00 apiece for a total of 5*25 = $<<5*25=125.00>>125.00 She sold 10 bracelets for $15.00 each for a total of 10*15 = $<<10*15=150.00>>150.00 She sold 20 earrings for $10.00 a pair for a total of 20*10 = $<<20*10=200.00>>200.00 She sold 2 ensembles for $45.00 each for a total of 2*45 = $<<2*45=90.00>>90.00 All total she made 125+150+200+90 = $<<125+150+200+90=565.00>>565.00 #### 565 Francine has five full boxes of crayons and 5 loose crayons, and her friend has 27 loose crayons. They need to put all of their loose crayons in a box. How many more boxes do they need if Francine has a total of 85 crayons? Francine has 85 - 5 = <<85-5=80>>80 crayons in total that are in the boxes. Thus, each box of crayons is filled with 80/5 = <<80/5=16>>16 crayons. A total of 5 + 27 = <<5+27=32>>32 crayons need to be placed in the boxes. Therefore, they still need 32/16 = <<32/16=2>>2 boxes for the loose crayons. #### 2 Making an equal number of drums of paint each day, a paint mixer takes three days to make 18 drums of paint. How many days will it take for him to make 360 drums of paint? If a paint mixer takes three days to make 18 drums of paint in a day, he makes 18/3=<<18/3=6>>6 drums of paint. The number of days it will take for him to make 360 drums of paint, making 6 drums a day, is 360/6=<<360/6=60>>60 days. #### 60 Itzayana is 4 inches taller than Zora, who is 8 inches shorter than Brixton. If Zara is 64 inches tall and has the same height as Brixton, calculate the average height of the four people. Since Brixton has the same height as Zara which is 64 inches, Zora, who is 8 inches shorter than Brixton, is 64-8 = <<64-8=56>>56 inches tall. Zara and Brixton's height is 64+64 = <<64+64=128>>128 inches If you add Zora's height, the three have a total height of 128+56 = <<128+56=184>>184 Itzayana is 4 inches taller than Zoran which means she is 56+4 = 60 inches tall The total height of the four friends is 60+184 =<<60+184=244>>244 The average height of the three is 244/4 =<<244/4=61>>61 #### 61