Nancy, the librarian, is shelving books from the cart. She shelved 12 history books, 8 romance books, and 4 poetry books from the top section of the cart. Half the books on the bottom section of the cart were mystery books, which she quickly put back into place. Then, she shelved the remaining books from the bottom of the cart, including 5 Western novels and 6 biographies. How many books did she have on the book cart when she started?

How many mystery novels are there? ** Half of the books on the bottom section of the cart are mystery books, which means they are the same as the number of Western novels and biographies put together. So there are 5 + 6 =

<<5+6=11>>11 mystery novels. How many books are there? ** Add them all together, and there are 12 history + 8 romance + 4 poetry + 11 mystery + 5 Western + 6 biographies = <<12+8+4+11+5+6=46>>46 books total #### 46 Hector purchased a container of gumballs. He gave 4 to Todd, then he gave twice as many as he had given Todd to Alisha, and then he gave 5 less than four times as many to Bobby as he had given to Alisha. If Hector had 6 gumballs remaining, what is the total number of gumballs that Hector purchased? How many gumballs did Hector give to Alisha? ** Hector gave to Alisha twice as many as he had given Todd, for a total of 4*2=<<4*2=8>>8 gumballs, How many gumballs did Hector give to Bobby? ** Hector gave 5 less than four times as many to Bobby as he had given to Alisha, or a total of (8*4)-5=<<8*4-5=27>>27 gumballs. How many gumballs did Hector purchase? ** If Hector had 6 gumballs remaining, he originally purchased 4+8+27+6=<<4+8+27+6=45>>45 gumballs. #### 45 Gail has two fish tanks. The first tank is twice the size of the second tank. There are 48 gallons of water in the first tank. She follows the rule of one gallon of water per inch of fish. If she keeps two-inch fish in the second tank and three-inch fish in the first tank, how many more fish would Gail have in the first tank than the second tank if one of the first tank fish eats another? How many gallons are in the second tank? ** The second tank is 48 / 2 = <<48/2=24>>24 gallons. How many two-inch fish does Gail keep in the second tank? ** Following her rule, Gail keeps 24 / 2 = <<24/2=12>>12 two-inch fish in the second tank. How many fish does Gail keep in the first tank? ** She keeps 48 / 3 = <<48/3=16>>16 fish in the first tank. How many fish would Gail have in the first tank if one of the first tank fish eats another? ** If one fish in the first tank ate another, she would have 16 - 1 = <<16-1=15>>15 fish in the first tank. How many more fish would Gail have in the first tank than the second tank if one of the first tank fish eats another? ** Thus, Gail would have 15 - 12 = <<15-12=3>>3 more fish in the first tank. #### 3 A craft store makes a third of its sales in the fabric section, a quarter of its sales in the jewelry section, and the rest in the stationery section. They made 36 sales today. How many sales were in the stationery section? How many sales were in the fabric section? ** The craft store made 36 / 3 = <<36/3=12>>12 sales in the fabric section. How many sales were in the jewelry section? ** It made 36 / 4 = <<36/4=9>>9 sales in the jewelry section. How many sales were in the stationery section? ** Thus, there were 36 - 12 - 9 = <<36-12-9=15>>15 sales in the stationery section. #### 15 Marcy is a makeup artist and has agreed to do some makeup for her friend's wedding. The only makeup she has limited stock of is lip gloss so she counts how many tubes she needs. Each tube of lip gloss will hold enough lip gloss for 3 people's makeup. Marcy decides to bring 6 tubs of lip gloss, each of which holds 2 tubes of lip gloss, and this will be the exact amount she needs for everyone's makeup. How many people is Marcy painting with makeup? How many tubes of lip gloss does Marcy bring? ** Marcy is bringing 6 tubs of lip gloss * 2 tubes of lip gloss per tub of lip gloss = <<6*2=12>>12 tubes of lip gloss. How many people is Marcy painting with makeup? ** So she must be applying makeup to 12 tubes of lip gloss * 3 people per tube of lip gloss = <<12*3=36>>36 people. #### 36 Ellie has found an old bicycle in a field and thinks it just needs some oil to work well again. She needs 10ml of oil to fix each wheel and will need another 5ml of oil to fix the rest of the bike. How much oil does she need in total to fix the bike? How much oil does Ellie need to fix the wheels? ** Ellie needs 2 wheels * 10ml of oil per wheel = <<2*10=20>>20ml of oil. How much oil does Ellie need in total to fix the bike? ** To fix the rest of the bike as well, she needs 20 + 5 = <<20+5=25>>25ml of oil. #### 25 Janice can type 6 sentences per minute. Today at work, Janice continued working on a paper she started typing yesterday. She typed for 20 minutes, took a break, and typed 15 minutes longer. She then had to erase 40 sentences she had typed incorrectly. After a meeting, she typed for 18 minutes more. In all, the paper had 536 sentences by the end of today. How many sentences did she start with today? How many sentences did Janice have from yesterday? ** Janice had X sentences from yesterday already typed to start with today. How many sentences did Janice type before her break? ** Janice typed 6 * 20 = <<6*20=120>>120 sentences before her break. How many sentences did Janice type after her break? ** She typed 6 * 15 = <<6*15=90>>90 sentences after her break. How many sentences did Janice type after her meeting? ** She typed 6 * 18 = <<6*18=108>>108 sentences after her meeting. How many sentences did Janice type today? ** Therefore, she typed 120 + 90 + 108 = <<120+90+108=318>>318 sentences today in all. How many sentences did Janie have left after erasing? ** She had to erase 40 sentences, so she had 318 - 40 = <<318-40=278>>278 sentences that she typed today left. How many sentences did Janice start with today? ** The paper had X + 278 = 536 sentences at the end of today. How many sentences did Janice start with today? ** Thus, she had X = 536 - 278 = <<536-278=258>>258 sentences typed on the paper to start with today. #### 258 During one day, there are 4 boat trips through the lake. The boat can take up to 12 people during one trip. How many people can the boat transport in 2 days? How many people can the boat transport in 2 days? ** During each boat trip, there can be 12 people onboard, so during 4 boat trips, there can be 4 * 12 = <<4*12=48>>48 people in total. How many people can the boat transport in 2 days? ** During two days the boat can transport a total of 48 * 2 = <<48*2=96>>96 people. #### 96 Paddington has 40 more goats than Washington. If Washington has 140 goats, how many goats do they have in total? How many goats does Washington have? ** If Washington has 140 goats, Washington has 140+40 = <<140+40=180>>180 goats. How many goats do they have in total? ** In total, they have 140+180 = <<140+180=320>>320 goats #### 320 John buys 10 packs of magic cards. Each pack has 20 cards and 1/4 of those cards are uncommon. How many uncommon cards did he get? How many uncommons are in each pack? ** Each pack has 20/4 = <<20/4=5>>5 uncommons How many uncommons did John get? ** So he got 10*5 = <<10*5=50>>50 uncommons #### 50