Miles is going to spend 1/6 of a day reading. He will read comic books, graphic novels, and novels. He reads 21 pages an hour when he reads novels, 30 pages an hour when he reads graphic novels, and 45 pages an hour when he reads comic books. If he reads each for 1/3 of his time, how many pages does he read?

Miles will read for 4 hours because 24 x (1/6) =

<<24*(1/6)=4>>4 He will read each type for 1 and 1/3 hours because 4 / 3 = 1 and 1/3 He will read 28 pages of novels because 21 x (1 and 1/3) = 28 He will read 40 pages of graphic novels because 30 x (1 and 1/3) = 40 He will read 60 pages of comic books because 45 x (1 and 1/3) = 60 He will read 128 pages in total because 28 + 40 + 60 = <<28+40+60=128>>128 #### 128 A man decides to try and do everything off his bucket list while he is still young and fit enough to finish it all. One of his goals was to climb the seven summits. He realizes first he has to get in shape to do it and it takes him 2 years of working out to get healthy enough to take up mountain climbing. He then spends twice that long learning how to be a technically proficient mountain climber. After that he starts with the simplest mountain on the list and climbs them all. He spends 5 months climbing each mountain. After that he takes 13 months learning to dive and dives through all the caves he wants in 2 years. How much time did it take to get through all these goals? He spent 2*2=<<2*2=4>>4 years learning to climb He spends 5*7=<<5*7=35>>35 months climbing all 7 mountains After a 13 month break, he starts diving so that is 35+13=<<35+13=48>>48 months That means it is 48/12=<<48/12=4>>4 years So in total it all took 2+4+4+2=<<2+4+4+2=12>>12 years #### 12 A fixer uses 30% of the nails in a container to repair the kitchen. He also used 70% of the remaining nails in the container to repair the fence. If there were 400 nails in the container, how many nails are remaining? The fixer used 30/100*400 = <<30/100*400=120>>120 nails to fix the kitchen. The number of nails remaining in the container after he fixes the kitchen is 400-120 = <<400-120=280>>280 He also uses 70/100*280 = <<70/100*280=196>>196 of the nails remaining in the container to fix the fence. The total number of nails which the fixer hasn't used is 280-196 = <<280-196=84>>84 #### 84 Jen bought a bag of cookies and ate three-quarters of the bag that day. The next day, she ate half of the remaining cookies. She has 8 cookies left on the third day. How many cookies were in the bag to start? On the third day, Jen had half of the second day’s cookies left, so on the second day, she had 8 * 2 = <<8*2=16>>16 cookies. On the second day, she had 1/4 of the first day’s cookies left, so she started with 16 * 4 = <<16*4=64>>64 cookies in the bag. #### 64 A library has a number of books. 35% of them are intended for children and 104 of them are for adults. How many books are in the library? 65% of the library books are for adults because 100 - 35 = <<100-35=65>>65 There are 160 library books in total because 104 / .65 = <<104/.65=160>>160 #### 160 Janine read 5 books last month. This month, she read twice as many books. If each book has 10 pages, how many pages did Janine read in two months? Janine read 5 x 2 = <<5*2=10>>10 books this month. So, she read a total of 5 + 10 = <<5+10=15>>15 books. Therefore, she read 15 x 10 = <<15*10=150>>150 pages in all. #### 150 A movie ticket costs $5. The cost of the popcorn is 80% of the cost of the ticket and a can of soda costs 50% of the cost of the popcorn. A family bought 4 tickets, 2 sets of popcorn, and 4 cans of soda. How much did they spend? The cost of the popcorn is $5 x 80/100 = $<<5*80/100=4>>4. The cost of a can of soda is $4 x 50/100 = $<<4*50/100=2>>2. The cost of 4 tickets is $5 x 4 = $<<5*4=20>>20. The cost of 2 sets of popcorn is $4 x 2 = $<<4*2=8>>8. The cost of 4 cans of soda is $2 x 4 = $<<2*4=8>>8. Therefore, the family paid a total of $20 + $8 + $8 = $<<20+8+8=36>>36. #### 36 Antoinette weighs 7 less kilograms than twice Rupert's weight. Together they weigh 98 kilograms. How many kilograms does Antoinette weigh? Let R = Rupert's weight Antoinette = 2R - 7 R + 2R - 7 = 98 3R = 105 Rupert = <<35=35>>35 kg Antoinette = 2 * 35 - 7 = <<2*35-7=63>>63 kg Antoinette weighs 63 kilograms. #### 63 Marcus has received a commission for as many paintings as possible. Marcus plans out his drawings so that his client can receive some of the paintings as soon as possible but it is still going to take a long time. On the first day, he paints 2 paintings. He then paints every day and each day, he paints twice as many paintings as he painted the day before. If he paints for 5 days, how many paintings will he have painted in total? If Marcus creates 2 paintings on the first day, then he can paint 2 paintings * 2 = <<2*2=4>>4 paintings on the 2nd day. So he paints 4 paintings * 2 = <<4*2=8>>8 paintings on the 3rd day. He then paints 8 paintings * 2 = <<8*2=16>>16 paintings on the 4th day. And finally paints 16 paintings * 2 = <<16*2=32>>32 paintings on the 5th day. Marcus therefore has painted a total of 2 + 4 + 8 + 16 + 32 = <<2+4+8+16+32=62>>62 paintings. #### 62 Chris is trying to sell his car for $5200 and has gotten two price offers. One buyer offered to pay the full price if Chris would pay for the car maintenance inspection, which cost a tenth of Chris’s asking price. The other buyer agreed to pay the price if Chris replaced the headlights for $80 and the tires for three times as much. What is the difference between the amounts Chris will earn from the two offers? Chris would earn 5200 - 5200 / 10 = 5200 - 520 = $<<5200-5200/10=4680>>4680 from the first buyer. He would earn 5200 - 80 - 80 * 3 = 5200 - 80 * 4 = 5200 - 320 = $<<5200-80-80*3=4880>>4880 from the second buyer. The difference between Chris’s earnings would be 4880 - 4680 = $<<4880-4680=200>>200. #### 200