Austin bought his seven friends each a robot. Each robot costs $8.75. He was charged $7.22 total for tax. He left with $11.53 in change. How much did Austin start with?
First we need to find the total amount for the robots. 7 robots * $8.75 per robot = $
<<7*8.75=61.25>>61.25 in total. Now we need to add in the tax $61.25 for the robots + $7.22 for tax = $<<61.25+7.22=68.47>>68.47 total spent in store. Now to find what was the beginning amount we take the $68.47 total spent in-store + $11.53 in change = $<<68.47+11.53=80>>80 to start. #### 80 Five months ago, Mike earned 10 times more money than Fred. If his salary has increased by 40 percent now, and Fred's salary then was $1000, calculate Mike's salary now. Five months ago, Mike earned ten times more money than Fred, and since Fred earned $1000, Mike earned 10*1000 = $<<10*1000=10000>>10000 more than Fred. The total amount of money that Mike earned five months ago is $10000+$1000 = $<<10000+1000=11000>>11000 Mikes salary has increased by 40/100*$11000 = $<<40/100*11000=4400>>4400 Mike's current salary is $11000 +$4400 = $<<11000+4400=15400>>15400 #### 15400 A shady restaurant is charging customers gratuities after taxes without them being aware. If my total bill was $140, the sales tax in my city is 10%, I ordered a NY Striploin for $80, and I ordered a glass of wine for $10, how much did they charge me for gratuities? The total bill before taxes or gratuities was $80 for the steak + $10 for the wine = $80+$10 = $<<80+10=90>>90 If the tax is 10%, then the taxes paid were $90 * 10% = $<<90*10*.01=9>>9 That means that the total bill before gratuities was $90 + $9 = $<<90+9=99>>99 If the final bill was $140, then you were charged $140-$99 = $<<140-99=41>>41 for gratuities #### 41 Jay & Gloria were hosting a 4th of July party at their house. Jay invited 22 people and Gloria invited 36. They wanted to buy small American flags for everyone. The craft store was having a sale on small flags, 5 flags for $1.00. If they wanted all of their guests to have a flag and they also wanted 1 flag each, how much would they spend at the craft store? Jay invited 22 guests and Gloria invited 36 so they invited 22+36 = <<22+36=58>>58 guests They also each wanted a flag so in total they would need 1+1+58 = <<1+1+58=60>>60 flags The craft store has them on sale at 5 for $1.00 and they need 60 flags so the flags will cost them 60/5 = $12.00 #### 12 A building has four floors with ten rooms each. Legacy has to clean each room, and it takes her 6 hours to clean one room. If she earns $15 per hour of work, calculate the total amount of money she makes from cleaning all the floors in the building. Since the building has four floors with ten rooms each, the total number of rooms in the building is 4*10 = <<4*10=40>>40. If it takes Legacy 6 hours to clean each room, she will take 40*6 = <<40*6=240>>240 hours to clean all the rooms in the building. Since she is making $15 per hour of work, she will earn $15*240 = $<<15*240=3600>>3600 after cleaning all the rooms. #### 3600 Bob was creating a math test for an online platform. He created 13 questions in the first hour. Bob then doubled his rate for the second hour, and doubled his second hour rate for the third hour. How many questions did Bob create in the three hours? First hour: <<13=13>>13 Second hour:13(2)=26 Third hour: 26(2)=52 Total:13+26+52=<<13+26+52=91>>91 questions #### 91 Fred had 236 dollars to spend on 6 books. After buying them, he had 14 dollars. On average, how much did each book cost? Fred spent $236 - $14 = $<<236-14=222>>222 on books. The cost per book is $222 / 6 books = $<<222/6=37>>37. #### 37 It takes 15 mink skins to make a coat. Andy buys 30 minks and each mink has 6 babies, but half the total minks are set free by activists. How many coats can he make? First find the total number of baby minks: 30 minks * 6 babies/mink = <<30*6=180>>180 minks Add this to the number of adult minks: 180 minks + 30 minks = <<180+30=210>>210 minks Then divide this number in half to find how many aren't set free: 210 minks / 2 = <<210/2=105>>105 minks Then divide the remaining number of minks by the number of minks per coat to find the number of coats: 105 minks / 15 minks/coat = <<105/15=7>>7 coats #### 7 A used car lot has 24 cars and motorcycles (in total) for sale. A third of the vehicles are motorcycles, and a quarter of the cars have a spare tire included. How many tires are on the used car lot’s vehicles in all? The used car lot has 24 / 3 = <<24/3=8>>8 motorcycles with 2 tires each. The lot has 24 - 8 = <<24-8=16>>16 cars for sale There are 16 / 4 = 4 cars with a spare tire with 5 tires each. The lot has 16 - 4 = <<16-4=12>>12 cars with 4 tires each. Thus, the used car lot’s vehicles have 8 * 2 + 4 * 5 + 12 * 4 = 16 + 20 + 48 = <<8*2+4*5+12*4=84>>84 tires in all. #### 84 Samuel bought 2 dozen doughnuts and Cathy bought 3 dozen doughnuts. They planned to share the doughnuts evenly with their 8 other friends. How many doughnuts will each of them receive? Since 1 dozen is equal to 12, then Samuel has 2 x 12 = <<24=24>>24 doughnuts. While Cathy has 3 x 12 = <<3*12=36>>36. They both have 24 + 36 = <<24+36=60>>60 doughnuts together. There are 8 friends + 1 (Samuel) + 1 (Cathy) = <<8+1+1=10>>10 that will share the doughnuts. Thus, each of them will get 60/10 = <<60/10=6>>6 doughnuts. #### 6