Madeline spends 18 hours a week in class. She spends 4 hours per day working on homework. She spends 8 hours per day sleeping. She works part-time 20 hours per week. How many hours left over does Madeline have?

How many hours does Madeline spend on homework? ** Madeline spends 4*7=

<<4*7=28>>28 hours on homework. How many hours does Madeline spend sleeping? ** She spends 8*7-56 hours sleeping. How many hours is Madeline busy? ** Therefore, she is busy 28+18+56+20=<<28+18+56+20=122>>122 hours per week. How many hours are there in a week? ** There are 7*24=<<7*24=168>>168 hours per week. How many hours does Madeline have left over? ** Thus, Madeline has 168-122=<<168-122=46>>46 hours left over. #### 46 Roselyn gives Mara three times as many books as she gives Rebecca and remains with 60 books. If Rebecca received 40 books, how many books did Roselyn have before? How many books did Mara receive? ** If Roselyn gave Rebecca 40 books, and Mara was given three times as many books, Mara has 3*40 = 120 books. How many books did Rebecca and Mara receive? ** Rebecca and Mara's total number of books is 120+40 = <<120+40=160>>160 books. How many books did Roselyn have before? ** If Roselyn gave Mara and Rebecca her books, which is 160, then she initially had 60+160 = <<60+160=220>>220 books. #### 220 Natalie's sister had 8 small diaries in her locker. Last summer she bought double the number of diaries she had and then lost 1/4 of what she had. How many diaries does Natalie's sister have now? How many diaries did Natalie's sister buy last summer? ** Natalie's sister bought 2 * 8 = <<2*8=16>>16 diaries. How many diaries did Natalie's sister have last summer? ** So she then had 16 + 8 = <<16+8=24>>24 diaries. How many diaries does Natalie's sister lose? ** Afterwards, she loses 1/4 * 24 = <<24*1/4=6>>6 diaries. How many diaries does Natalie's sister have now? ** So, Natalie's sister now has 24 - 6 = <<24-6=18>>18 diaries. #### 18 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? How much did Austin buy the robots for? ** 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. How much did Austin spend 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. How much did Austin start with? ** 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. How much more money did Mike earn than Fred? ** 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. How much money did Mike earn five months ago? ** The total amount of money that Mike earned five months ago is $10000+$1000 = $<<10000+1000=11000>>11000 How much has Mike's salary increased? ** Mikes salary has increased by 40/100*$11000 = $<<40/100*11000=4400>>4400 How much is Mike's current salary? ** 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? How much did I order? ** The total bill before taxes or gratuities was $80 for the steak + $10 for the wine = $80+$10 = $<<80+10=90>>90 How much did I pay in taxes? ** If the tax is 10%, then the taxes paid were $90 * 10% = $<<90*10*.01=9>>9 How much did I pay in total? ** That means that the total bill before gratuities was $90 + $9 = $<<90+9=99>>99 How much did they charge me for gratuies? ** 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? How many guests did Jay and Gloria invite? ** Jay invited 22 guests and Gloria invited 36 so they invited 22+36 = <<22+36=58>>58 guests How many flags did Jay and Gloria want? ** They also each wanted a flag so in total they would need 1+1+58 = <<1+1+58=60>>60 flags How much will the flags cost? ** 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. How many rooms are 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. How many hours will it take Legacy to clean all the rooms in the building? ** 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. How much money will Legacy make from cleaning 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? How many questions did Bob create in the first hour? ** First hour: <<13=13>>13 How many questions did Bob create in the second hour? ** Second hour:13(2)=26 How many questions did Bob create in the third hour? ** Third hour: 26(2)=52 How many questions did Bob create in the three hours? ** 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? How much did Fred spend on books? ** Fred spent $236 - $14 = $<<236-14=222>>222 on books. How much did each book cost? ** The cost per book is $222 / 6 books = $<<222/6=37>>37. #### 37