Tom decides to renovate a house. There are 3 bedrooms and each bedroom takes 4 hours to renovate. The kitchen takes 50% longer than each bedroom. The living room took twice as much time as everything else combined. How long did everything take?

How long did the kitchen take? ** The kitchen took 4 * .5 =

<<4*.5=2>>2 hours longer than the bedrooms How long did the kitchen take? ** So the kitchen took 4 + 2 = <<4+2=6>>6 hours How long did the bedrooms take? ** The bedrooms took 3 * 4 = <<3*4=12>>12 hours How long did the kitchen and bedrooms take? ** So the kitchen and bedrooms combined took 12 + 6 = <<12+6=18>>18 hours How long did the living room take? ** The living room took 18 * 2 = <<18*2=36>>36 hours How long did everything take? ** So everything took a total of 18 + 36 = <<18+36=54>>54 hours #### 54 Gary manages two Amazon distribution centers. The first center processes 10000 packages per day, and the second center processes three times that volume. If Amazon makes 5 cents of profit per package, how much profit per week do the two centers make combined? How many packages does the second center process per day? ** First find how many packages the second center processes per day: 10000 packages/day * 3 = <<10000*3=30000>>30000 packages/day How many packages does the second center process per day? ** Then add the packages the first center processes: 30000 packages/day + 10000 packages/day = <<30000+10000=40000>>40000 packages/day How much profit does Amazon make per day? ** Then multiply the number of packages by Amazon's profit per package to find Amazon's daily profit: 40000 packages/day * $0.05/package = $2000/day How much profit does Amazon make per week? ** Then multiply the daily profits by the number of days in a week to find the weekly profits: $2000/day * 7 days/week = $<<2000*7=14000>>14000/week #### 14000 In his company, Kenzo has 80 office chairs with five legs each and 20 round tables with three legs each. If after a month 40% of the chairs are damaged and have to be disposed of, calculate the total number of legs of furniture Kenzo has remaining in his company. How many chairs are disposed of after they're found to be damaged? ** The number of chairs that are disposed of after they're found to be damaged is 40/100*80 = <<40/100*80=32>>32. How many chairs are in good condition in Kenzo's company? ** The number of chairs in good condition in Kenzo's company is 80-32 = <<80-32=48>>48 How many legs do the 48 chairs have? ** The 48 chairs have 48*5 = <<48*5=240>>240 legs. How many legs do the round tables have? ** The round tables also have 20*3 = <<20*3=60>>60 legs. How many legs does the furniture in Kenzo's company have? ** In total, the furniture in Kenzo's company has 60+240 = <<60+240=300>>300 legs. #### 300 Randy had $3,000. Smith gave him another $200. Randy then gave Sally $1,200 and kept the rest. What was the value, in dollars, of the rest? How much money did Randy have, after Smith gave him $200? ** After Smith gave him $200, Randy had 3000+200=<<3000+200=3200>>3200 dollars. What was the value of the rest? ** The value of the rest of the money is 3200-1200=<<3200-1200=2000>>2000 dollars. #### 2000 Arlene hiked 24 miles on Saturday, carrying a 60-pound backpack. She is exactly 5 feet tall. She spent 6 hours hiking. The temperature during the day was 60 degrees Fahrenheit. What was Arlene's average hiking pace, in miles per hour? How many miles did Arlene hike? ** She hiked 24 miles. How many hours did it take Arlene to hike? ** She spent 6 hours hiking. What was Arlene's average hiking pace, in miles per hour? ** Her average pace was 24/6=<<24/6=4>>4 mph. #### 4 James paves a new parking lot. It is 400 feet by 500 feet. Only 80% of that is useable for parking. It takes 10 square feet to park a car. How many cars can be parked? How many square feet is the parking lot? ** The parking lot is 400*500=<<400*500=200000>>200,000 How many square feet are in the parking lot? ** There are 200,000*.8=<<200000*.8=160000>>160,000 square feet of parking space How many cars can be parked? ** That means he can park 16,0000/10=16000 cars #### 16000 Emma buys 2 containers of milk every school day for lunch. She does not go to school on the weekends. How many containers of milk does she buy in 3 weeks? How many containers of milk does Emma buy in a week? ** There are 5 school days in a week: 5 days/week x 2 containers of milk/day = 10 containers of milk every week How many containers of milk does Emma buy in 3 weeks? ** Finally the number of container for 3 weeks is 3 weeks x 10 containers/week = <<3*10=30>>30 containers #### 30 If 24 out of every 60 individuals like football and out of those that like it, 50% play it, how many people would you expect play football out of a group of 250? How many people play football? ** If 50% of individuals that like football play it, and there are 24 out of 60 individuals that like it, then 24*50% = 12 out of 60 individuals play it How many people play football? ** If 12 individuals play it out of 60 individuals then that means only 12/60 = 1/5 or 20% play it How many people would you expect play football? ** If 20% of individuals play football out of a group of 250 people, one would expect 250*20% = <<250*20*.01=50>>50 individuals to play it #### 50 Jacob has half the number of shoes Edward has. Edward has 3 times the number of shoes Brian has. If Brian has 22 pairs of shoes, how many pairs of shoes do they have in total? How many pairs of shoes does Edward have? ** Edward has 3 * 22 = <<3*22=66>>66 pairs of shoes. How many pairs of shoes does Jacob have? ** Jacob has 66 / 2 = <<66/2=33>>33 pairs of shoes. How many pairs of shoes do they have in total? ** All of them have 22 + 66 + 33 = <<22+66+33=121>>121 pairs of shoes in total. #### 121 Roberto recently received a 20% raise from his previous salary, which was already 40% higher than his starting salary. If Roberto's starting salary was $80,000, what is his current salary? How much did Roberto's first raise increase his salary? ** Roberto has received 2 raises. On his first raise he received a 40% bump, therefore his new salary was $80,000 * 140% = $<<80000*140*.01=112000>>112,000 How much did Roberto's second raise increase his salary? ** On his second raise, Roberto received a 20% bump, therefore his current salary is $112,000 * 120% = $<<112000*120*.01=134400>>134,400 #### 134400