Kyle has $12 less than 3 times what Dave has. Kyle then spends a third of it going snowboarding. If Dave has $46, how much money does Kyle have?

Kyle has 46*3-12 =

<<46*3-12=126>>126 dollars. Kyle spends 126/3 = <<126/3=42>>42 dollars going snowboarding. Kyle has 126-42 = <<126-42=84>>84 dollars left. #### 84 The base of a hill located beside a river is 300m above the seabed. If this depth is a quarter of the vertical distance between the riverbed and the peak of the hill, how high is the hill? 300m is a quarter of the distance from the riverbed to the hill's peak so (1/4)*distance from riverbed to peak = 300m Multiplying both sides of the equation by 4 gives the distance from riverbed to peak = 300m*4 = <<300*4=1200>>1200m The height of the hill is the difference between the distance from the riverbed to the hill's peak and the distance from the riverbed to the hill's base which is 1200m-300m = <<1200-300=900>>900m #### 900 John travels 150 miles in 2 hours. The speed limit is 60 mph. How many mph above the speed limit was he driving? He was driving 150/2=<<150/2=75>>75 mph So he was 75-60=<<75-60=15>>15 mph above the speed limit #### 15 Raine's house is just a walking distance from her school. It takes her 150 steps to walk to the school. How many steps does she take walking to and from school in five days? Raine takes 150 x 2 = <<150*2=300>>300 steps walking to and from school each day. Thus, it takes her 300 x 5 = <<300*5=1500>>1500 steps in five days. #### 1500 Ian spent half the money he made on doing online surveys. If he worked 8 hours doing surveys and on average he's able to earn $18 per hour doing surveys, how much money does he have left? Ian is able to earn $18 per hour doing surveys. If he worked 8 hours doing surveys, then he earned $18*8 = $<<18*8=144>>144 If he spent half of what he earned, then he spent $144 * 50% = $<<144*50*.01=72>>72 If Ian spent $72 of his earnings, then he has $144 - $72 = $<<72=72>>72 left #### 72 Joan wants to visit her family who live 480 miles away. If she drives at a rate of 60 mph and takes a lunch break taking 30 minutes, and 2 bathroom breaks taking 15 minutes each, how many hours did it take her to get there? The driving time is 480/60= <<480/60=8>>8 hours The time for breaks was 30+15+15=<<30+15+15=60>>60 minutes So she spent 60/60=<<60/60=1>>1 hour for rest stops. So it took her 8+1=<<8+1=9>>9 hours #### 9 John takes a 20-foot log and cuts it in half. If each linear foot of the log weighs 150 pounds how much does each cut piece weigh? Each cut piece is 20/2=<<20/2=10>>10 feet long So they each weigh 10*150=<<10*150=1500>>1500 pounds #### 1500 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? 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 Each bottle is $30.00 and she needs 12 bottles so they will cost 30*12 = $<<30*12=360.00>>360.00 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 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? Over 5 of the floors, it takes the elevator 5 floors * 5 minutes per floor = <<5*5=25>>25 minutes to lower. Over the final 5 floors, it takes the elevator 5 floors * 16 minutes per floor = <<5*16=80>>80 minutes to lower. 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. 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? 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. Mark has X - 1/2*X - 14 - 1/3*X - 16 = $0 left. Combining like terms, we get 1/6*X - 30 = $0. 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