Michelangelo has 28 ceilings to paint. This week, he paints 12 of them. Next week, he will paint 1/4 the number of ceilings he did this week. How many ceilings will be left to paint after next week?
After this week, Michelangelo will have 28-12=
<<28-12=16>>16 more ceilings to paint. Next week, Michelangelo will paint 12/4=<<12/4=3>>3 ceilings. Michelangelo will have 16-3=<<16-3=13>>13 more ceilings to paint. #### 13 Alex makes luxury dresses out of silk. Each dress needs 5 meters of silk and Alex has 600 meters of silk in storage. His friends also want to learn how to make these dresses so Alex gives all 5 of them 20 meters of silk each. He uses the rest to make dresses himself. How many dresses can Alex make? Alex gives his friends a total of 5 friends * 20 meters of silk = <<5*20=100>>100 meters of silk. This means he has 600 – 100 = <<600-100=500>>500 meters of silk left in storage. He can therefore make 500 meters of silk / 5 meters of silk per dress = <<500/5=100>>100 dresses. #### 100 Tony has to run several errands in a day. He needs to drive 10 miles to get groceries, 15 miles to get a haircut and 5 miles to go to a doctor's appointment. How many miles will Tony have driven when he is halfway through driving around for his errands? First, we need to find the total number of miles Tony will be driving by adding 10+15+5=<<10+15+5=30>>30 miles in total. To determine the halfway point, we simply divide the total number of miles by 2, performing 30/2=<<30/2=15>>15 miles driven when Tony is halfway done. #### 15 Veronica's flashlight was bright enough to be seen at night from a distance of 1000 feet. Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, and Velma's flashlight could be seen at night from a distance 2000 feet less than 5 times farther than Freddie's flashlight. If Veronica's and Velma's flashlight were placed next to one another and turned on at night, how much farther, in feet, could Velma's flashlight be seen compared to Veronica's? Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, for a total distance of 3*1000=<<3*1000=3000>>3000 feet. Five times farther than the distance from which Freddie's flashlight can be seen at night is 5*3000=<<5*3000=15000>>15,000 feet. Velma's flashlight could be seen at night from a distance 2000 feet less than 5 times farther than Freddie's flashlight, for a total distance of 15,000-2,000=<<15000-2000=13000>>13,000 feet. Compared to Veronica's flashlight, Velma's flashlight could be seen for a distance of 13,000-1,000=<<13000-1000=12000>>12,000 feet farther. #### 12,000 The city’s bus system carries 1,200,000 people each day. How many people does the bus system carry for 13 weeks? 13 weeks have 13 * 7 = <<13*7=91>>91 days. For 91 days the bus system carries 1,200,000 * 91 = <<1200000*91=109200000>>109,200,000 people. #### 109,200,000 In the city, there is a block of flats. This block has 12 floors. Half of the floors have 6 apartments and the other half have 5 apartments. One apartment can accommodate a maximum of 4 residents. What is the maximum number of residents that can live in this block of flats? Half of the floors have different numbers of apartments. Half the number of floors is 12 floors / 2 = <<12/2=6>>6 floors. One half of the block consists of 6 floors * 6 apartments/floor = <<6*6=36>>36 apartments. And the other half consists of 6 floors * 5 apartments/floor = <<6*5=30>>30 apartments. There are 30 + 36 = <<30+36=66>>66 apartments on all floors in the block. All the apartments can therefore accommodate 66 apartments * 4 residents/apartment = <<66*4=264>>264 residents. #### 264 A bus has a capacity of 200 people. If it carried 3/4 of its capacity on its first trip from city A to city B and 4/5 of its capacity on its return trip, calculate the total number of people the bus carried on the two trips? From city A to city B, the bus carried 3/4*200 = <<3/4*200=150>>150 passengers On the return trip, the bus carried 4/5*200 = <<4/5*200=160>>160 passengers In total, the bus carried 160+150 = <<160+150=310>>310 passengers. #### 310 Quinton brought 40 cupcakes to school on his birthday. He gave a cupcake to each of the 18 students in Ms. Delmont's class. He also gave a cupcake to each of the 16 students in Mrs. Donnelly's class. He also gave a cupcake to Ms. Delmont, Mrs. Donnelly, the school nurse, and the school principal. How many cupcakes did he have left over? Quinton had 40 cupcakes - 18 = <<40-18=22>>22 cupcakes. He then had 22 cupcakes - 16 students = <<22-16=6>>6 cupcakes. Quinton then gave away 6 - 1 -1 -1 -1 = <<6-1-1-1-1=2>>2 cupcakes left. #### 2 The school band has 30 songs in their repertoire. The band played 5 songs in their first set and 7 in their second set. The band will play 2 songs for their encore. Assuming the band plays through their entire repertoire, how many songs will they play on average in the third and fourth sets? The band played 5 + 7 = <<5+7=12>>12 songs in their first two sets. They have 30 - 12 = <<30-12=18>>18 songs left for the third set, fourth set and encore. Since they played 2 songs in the encore, they have 18 - 2 = <<18-2=16>>16 songs to play on the third and fourth sets They will play 16 / 2 = <<16/2=8>>8 songs on average over the third and fourth sets. #### 8 Some students want to buy pencils from a stationery shop. The price of one pencil is 20 cents. Tolu wants 3 pencils, Robert wants 5 pencils and Melissa wants 2 pencils. How much (in dollars) will the students spend altogether at the stationery shop? The three students want a total of 3+2+5 = <<3+2+5=10>>10 pencils Each pencil cost 20 cents so 10 pencils cost 20*10 = <<20*10=200>>200 cents 100 cents make a dollar so 200 cents make 200/100 = <<200/100=2>>2 dollars #### 2