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?

How many useful items are in Marcus's attic? ** 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 How many junk items are in Marcus's attic? ** 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? How many gilled mushrooms are there? ** There is 1 gilled mushroom for every 1 + 9 = <<1+9=10>>10 mushrooms. How many gilled mushrooms were on the fallen log’s side? ** 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? How much does the second bell weigh? ** First find the size of the second bell: 50 pounds * 2 = <<50*2=100>>100 pounds How much does the third bell weigh? ** Then find the size of the third bell: 100 pounds * 4 = <<100*4=400>>400 pounds How much bronze does Martin need total? ** 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 Max works for a delivery company as a courier. During one working day, he can deliver a maximum of 35 packages. One week, Max delivered the maximum number of packages, only twice. On two other days, Max unloaded a total of 50 packages, and on one day he unloaded only one-seventh of the maximum possible daily performance. On the last two days, the sum of the packages transported was only fourth-fifth of the maximum daily performance. How many more packages could Max deliver during that week, if he would work at maximum performance? How many packages can Max deliver in one week? ** Max can deliver a maximum of 35 * 7 = <<35*7=245>>245 packages in one week. How many packages did Max deliver in those two days? ** For two days Max has carried the maximum number of packages, which in total means 2 * 35 = <<2*35=70>>70 packages. How many packages did Max deliver on that day? ** One day Max has carried only 1/7 of the maximum capacity, that is 1/7 * 35 = <<1/7*35=5>>5 packages. How many packages did Max deliver on those two days? ** On two other days, Max delivered only 4/5 * 35 = <<4/5*35=28>>28 packages. How many more packages could Max deliver during that week, if he would work at maximum performance? ** That means, Max could deliver 245 - 28 - 5 - 70 - 50 = <<245-28-5-70-50=92>>92 more packages. #### 92 Tire repair for each tire costs $7, plus another 50 cents for sales tax. If Juan needs all 4 tires repaired, how much is the final cost? What is the base cost for all 4 tires? ** Juan pays 4*7 = <<4*7=28>>28 dollars for all four tire repairs. What is the total tax for all 4 tires? ** Juan pays 0.50*4 = <<0.50*4=2>>2 dollars in sales tax for all four tire repairs. How much is the final cost? ** Juan pays a total of 28+2 = <<28+2=30>>30 dollars. #### 30 In a factory that employed 852 people, 25% more workers have just been hired. How many employees are there now in the factory? How many workers are there now? ** A quarter of the workers equals 852 * 25 / 100 = <<852*25/100=213>>213 workers. How many employees are there now? ** There are now 852 + 213 = <<852+213=1065>>1065 employees in the factory. #### 1065 Marcus is having a water balloon party. He has 100 balloons. Each balloon holds 3 ounces of water. He can buy 50 ounces of water for $2.5 a bottle. If he walks into the store with 2 $10 bills, how much change will he have after he buys all the water he needs? How many ounces of water are in each balloon? ** He will need 300 ounces of water because 100 x 3 = <<100*3=300>>300 How many bottles of water will he need? ** He will need 6 bottles because 300 / 50 = <<300/50=6>>6 How much will the water cost? ** This will cost $15 because 6 x 2.5 = <<6*2.5=15>>15 How much money does he have? ** He has $20 because 2 x 10 = <<2*10=20>>20 How much change will he have? ** He will get $5 in change because 20 - 15 = <<20-15=5>>5 #### 5 Henry has 30 more lollipops than Alison does. With 60 lollipops, Alisson has half the number of lollipops Diane has. If they combine the lollipops and eat 45 lollipops each day, calculate the total number of days it will take for them to finish the lollipops. How many lollipops does Henry have? ** Since Henry has 30 more lollipops than Alison, he has 60+30= 90 lollipops. How many lollipops do Alison and Henry have together? ** Together, Alison and Henry have 90+60 = <<90+60=150>>150 lollipops. How many lollipops does Diane have? ** Alison has half the number of lollipops that Diane has, meaning Diane has 2*60 = 120 lollipops. How many lollipops do Alison, Henry, and Diane have together? ** Altogether, the three have 120+150 = <<120+150=270>>270 lollipops. How many days will it take for them to finish the lollipops? ** Since they eat 45 lollipops each day, they'll take 270/45=<<270/45=6>>6 days to finish all the lollipops. #### 6 Reggie's father gave him $48. Reggie bought 5 books, each of which cost $2. How much money does Reggie have left? How much do the books cost? ** The cost of the books is 5 × $2 = $<<5*2=10>>10. How much money does Reggie have left? ** Reggie has $48 − $10 = $38 left. #### 38 Emily loves to have pets and for that reason, she has 4 dogs in her home. Each one eats 250 grams of food per day. She has to go on vacation for 14 days. How many kilograms of food should she buy for her 4 dogs so they don't starve while she is out? How many grams of food will each dog eat? ** Each dog would eat 250 grams so 4 will would eat 4 x 250 grams = <<4*250=1000>>1000 grams of food per day. How many grams is 1 kilogram? ** 1.000 grams is equal a 1 kilogram. How many kilograms of food would be enough for two weeks? ** Emily is going on vacation for 14 days and with the 4 dogs together eating 1 kilogram of food per day, 14 days x 1 kg of food/day = <<14*1=14>>14 kg of food would be enough for two weeks. #### 14