Billy's mom sends him to get ketchup. She gives him $10 and tells him to get the best deal on ketchup that he can and to spend all $10 on ketchup. He finds a bottle with 10 oz that cost $1 each. He finds a bottle that costs $2 that contains 16 ounces. He finds a bottle with 25 ounces that costs $2.5. He finds a $5 bottle that contains 50 ounces. Finally, he finds a $10 bottle with 200 ounces. How many bottles of ketchup does he buy?

The 10 ounce bottle costs $.1 an ounce because 1 / 10 =

<<1/10=.1>>.1 The 16 ounce bottle costs $.125 an ounce because 2 / 12 = .125 The 25 ounce bottle costs $.125 an ounce because 2.5 / 20 = <<2.5/20=.125>>.125 The 50 ounce bottle costs $.1 an ounce because 5 / 50 = <<5/50=.1>>.1 The 200 ounce bottle cost $.05 an ounce because 10 / 200 = <<10/200=.05>>.05 The 200 ounce bottle is the cheapest per ounce because .05 < .08 < .1 < .125 He buys 1 bottle of ketchup because 10 / 10 = <<10/10=1>>1 #### 1 From Sunday to Thursday, Prudence sleeps 6 hours a night. Friday and Saturday she sleeps for 9 hours a night. She also takes a 1-hour nap on Saturday and Sunday. How much sleep does she get in 4 weeks? 5 nights a week she sleeps for 6 hours so she sleeps 5*6 = <<5*6=30>>30 hours 2 nights a week she sleeps for 9 hours so she sleeps 2*9 = <<2*9=18>>18 hours 2 days a week she naps for 1 hour so she sleeps 2*1 = <<2*1=2>>2 hours Over 1 week she sleeps 30+18+2 = <<30+18+2=50>>50 hours Over 4 weeks she sleeps 4*50 = <<4*50=200>>200 hours #### 200 There were 100 people in attendance at the school dance. Ten percent of the attendees were school faculty and staff. Of the remaining attendees, two-thirds were girls. How many boys attended the school dance? Of 100 people in attendance at the school dance, 10% were school faculty and staff, or a total of 0.1*100=<<100*0.1=10>>10 people. This leaves 100-10=<<100-10=90>>90 students in attendance. Of the remaining attendees, two-thirds were girls, or (2/3)*90=<<(2/3)*90=60>>60 attendees were girls. Thus, the remaining 90-60=<<90-60=30>>30 students were boys who attended the school dance. #### 30 When Suzy the librarian sat at her desk on Wednesday morning, she had 98 books ready for checkout. The same day, 43 books were checked out. The following day, 23 books were returned, but 5 books were checked out. On Friday, 7 books were returned. How many books did Suzy have? When 43 books were checked out on Wednesday, Suzy remained with 98 - 43 = <<98-43=55>>55 books After 23 books were returned on Thursday, she ended with 55 + 23 = <<55+23=78>>78 books However, 5 books were checked out on the same day meaning that 78 - 5 = <<73=73>>73 books were left. After 7 books were returned on Friday, Suzy had 73 + 7 = <<73+7=80>>80 books #### 80 John starts climbing a very steep hill. He travels 1 foot vertically for every two feet horizontally. His elevation increases from 100 feet to 1450 feet. How far does he move horizontally, in feet? He travels 1450-100=<<1450-100=1350>>1350 feet vertically So he travels 1350*2=<<1350*2=2700>>2700 feet horizontally #### 2700 Mark is injured so decides to spend more time reading. He used to read 2 hours a day but increased that by 150%. Before he read 100 pages a day. How many pages does he read a week now? His reading speed is 100/2=<<100/2=50>>50 pages a day He reads 2*1.5=<<2*1.5=3>>3 hours more now than before So now he reads 2+3=<<2+3=5>>5 hours per day That means he reads 5*50=<<5*50=250>>250 pages per day So he reads 250*7=<<250*7=1750>>1750 pages a week #### 1750 Evergreen Elementary school has 100 students in Grades 4, 5, and 6. There are 30 students in Grade 4 and 35 students in Grade 5. How many students are in Grade 6? There are 30 + 35 = <<30+35=65>>65 students in Grades 4 and 5. Therefore, there are 100 - 65 = <<100-65=35>>35 students in Grade 6. #### 35 Mary has 400 sheep on her farm. She gave a quarter of her sheep to her sister, and half of the remaining sheep to her brother. How many sheep remain with Mary? Mary gives 1/4 * 400 = <<400*1/4=100>>100 sheep to her sister. She now has 400 - 100 = <<400-100=300>>300 sheep remaining. She then gives 1/2 * 300 = <<300/2=150>>150 sheep to her brother. So 300 - 150 = <<300-150=150>>150 sheep remain. #### 150 Nelly is very pleased with the painting she bought at the auction. She tells her daughter that she outbid her rival Joe by paying $2000 more than thrice his bid. If Joe’s bid was $160,000, at how much did Nelly get the painting? Three times Joe’s bid is 3 * 160000 = <<3*160000=480000>>480000 dollars Since Nelly paid an additional $2000, she paid 2000 + 480000 = <<2000+480000=482000>>482000 dollars. #### 482000 Rita bought 5 short dresses, 3 pairs of pants and 4 jackets from a store that sells second-hand clothes. The dresses cost $20 each, the pants cost $12, the jackets cost $30 each, and she spent an additional $5 on transportation. If she had $400 initially, how much does she have now? She bought 5 dresses at $20 each for a total of 5*$20 = $<<5*20=100>>100 She bought 3 pairs of pants at $12 each for a total of 3*$12 = $<<3*12=36>>36 She bought 4 jackets at $30 each for a total of 4*$30 = $<<4*30=120>>120 She spent an additional $5 on transportation for a sum total of $5+$100+$36+$120 = $<<5+100+36+120=261>>261 She initially had $400 so she now has $400-$261 = $<<400-261=139>>139 #### 139