A printing press is printing brochures. The press prints 20 single-page spreads, and twice as many double-page spreads. For each 4 pages printed for the spreads, the press prints a block of 4 ads, each of which take up a quarter of a page. The brochures can be arranged in any order as long as they are made up of 5 pages each. How many brochures is the printing press creating?
There are a total of 20 single-page spreads * 2 =
<<20*2=40>>40 double-page spreads. As these are made up of 2 pages each, there are 40 double-page spreads * 2 pages = <<40*2=80>>80 pages in the double-page spreads. In total, there are 20 single-pages + 80 double-pages = <<20+80=100>>100 pages in the spreads. A block of ads is printed every 4 pages, so there will be 100 pages / 4 pages/block = <<100/4=25>>25 blocks of ads. This is a total of 25 blocks * 4 ads = <<25*4=100>>100 ads. As each ad takes up a quarter of a page, this must create an additional 100 ads * 0.25 = <<100*0.25=25>>25 pages. Therefore, the press has printed 100 pages from the spreads + 25 pages of ads = <<100+25=125>>125 pages. Since brochures are made up of 5 pages each, this creates a total of 125 pages / 5 = <<125/5=25>>25 brochures. #### 25 The difference in the number of pens that Alice and Clara each have matches their age difference. Alice has 60 pens and Clara has 2/5 times as many pens as Alice. If Alice's age is 20 and Clara is older than Alice, calculate Clara's age in 5 years to come. If Alice has 60 pens, Clara 2/5*60=<<24=24>>24 pens. The number of pens that Alice has more than Clara is 60-24=<<60-24=36>>36 Since Alice is 20, and the number of pens that Alice has more than Clara is their age difference, Clara is 20+36=<<20+36=56>>56 years old. In five years, Clara's age will be 56+5=<<56+5=61>>61 years. #### 61 Tim used to run 3 times a week but decided to add an extra 2 days a week. She runs 1 hour in the morning and 1 in the evening every day she runs. How many hours a week does she run now? He now runs 3+2=<<3+2=5>>5 times a week Each day he runs for 1+1=<<1+1=2>>2 hours So he runs 2*5=<<2*5=10>>10 hours a week #### 10 David found $12 on the street. He then gave it to his friend Evan who has $1 and needed to buy a watch worth $20. How much does Evan still need? The total amount Evan has is $1 + $12 = $<<1+12=13>>13. So Evan still needs $20 - $13 = $<<20-13=7>>7. #### 7 When all her clothes are washed and in her closet, Brie has 12 blouses, 6 skirts, and 8 slacks. Today in her hamper, she has 75% of her blouses, 50% of her skirts, and 25% of her slacks. How many pieces of clothing will she need to put in the washer? In her hamper, Brie has 12 x 75% = <<12*75*.01=9>>9 blouses. In her hamper, she has 6 x 50% = <<6*50*.01=3>>3 skirts. In the hamper, she has 8 x 25% = <<8*25*.01=2>>2 slacks. She will need to wash 9 + 3 + 2 = <<9+3+2=14>>14 pieces of clothes. #### 14 Sharon wants to get kitchen supplies. She admired Angela's kitchen supplies which consist of 20 pots, 6 more than three times as many plates as the pots, and half as many cutlery as the plates. Sharon wants to buy half as many pots as Angela, 20 less than three times as many plates as Angela, and twice as much cutlery as Angela. What is the total number of kitchen supplies Sharon wants to buy? Angela has 6+3*20=<<6+3*20=66>>66 plates. Angela has 1/2*66=<<1/2*66=33>>33 cutlery. Sharon wants to buy 1/2*20=<<1/2*20=10>>10 pots. Sharon wants to buy 3*66-20=<<3*66-20=178>>178 plates. Sharon wants to buy 2*33= <<2*33=66>>66 cutlery. Sharon wants to buy a total of 10+178+66=<<10+178+66=254>>254 kitchen supplies. #### 254 Mike is building a bridge out of LEGO blocks. To be successful he needs at least 40 bricks of type A, and half that many of type B. In total, he needs to use 150 bricks. How many bricks of other types than mentioned is he going to use? Mike is using 40 blocks / 2 = <<40/2=20>>20 blocks of type B. He uses in total 40 blocks + 20 blocks = <<40+20=60>>60 blocks of type A and B. So he is going to use 150 blocks - 60 blocks = <<150-60=90>>90 blocks of other types. #### 90 Mason is cleaning out all the junk in his attic. 20% of the items are useful, 10% are valuable heirlooms, and 70% are junk. If Marcus's attic has 8 useful items in it, how many junk items does it have? First find the total number of items in the attic by dividing the number of useful items by the percentage of useful items: 8 items / .2 = <<8/.2=40>>40 items Then multiply the total number of items by the percentage that are junk to find the number of junk items: 40 items * .7 = <<40*.7=28>>28 items #### 28 A certain kind of wild mushroom has either spots or gills, but never both. Gilled mushrooms are rare, with only one growing for every nine spotted mushrooms that grow. A fallen log had 30 mushrooms growing on its side. How many gilled mushrooms were on the fallen log’s side? There is 1 gilled mushroom for every 1 + 9 = <<1+9=10>>10 mushrooms. Thus, there were 30 / 10 = <<30/10=3>>3 gilled mushrooms on the fallen log’s side. #### 3 Martin is casting three bells for the church's belfry. The first bell takes 50 pounds of bronze, the second bell is twice the size of the first bell, and the third bell is four times the size of the second bell. How much bronze does he need total? First find the size of the second bell: 50 pounds * 2 = <<50*2=100>>100 pounds Then find the size of the third bell: 100 pounds * 4 = <<100*4=400>>400 pounds Then add the amount of bronze used for each bell to find the total: 100 pounds + 400 pounds + 50 pounds = <<100+400+50=550>>550 pounds #### 550