It takes 15 mink skins to make a coat. Andy buys 30 minks and each mink has 6 babies, but half the total minks are set free by activists. How many coats can he make?
How many minks are there? ** First find the total number of baby minks: 30 minks * 6 babies/mink =
<<30*6=180>>180 minks How many minks are there? ** Add this to the number of adult minks: 180 minks + 30 minks = <<180+30=210>>210 minks How many minks are set free? ** Then divide this number in half to find how many aren't set free: 210 minks / 2 = <<210/2=105>>105 minks How many coats can Andy make? ** Then divide the remaining number of minks by the number of minks per coat to find the number of coats: 105 minks / 15 minks/coat = <<105/15=7>>7 coats #### 7 A used car lot has 24 cars and motorcycles (in total) for sale. A third of the vehicles are motorcycles, and a quarter of the cars have a spare tire included. How many tires are on the used car lot’s vehicles in all? How many motorcycles are there? ** The used car lot has 24 / 3 = <<24/3=8>>8 motorcycles with 2 tires each. How many cars are there? ** The lot has 24 - 8 = <<24-8=16>>16 cars for sale How many cars have a spare tire? ** There are 16 / 4 = 4 cars with a spare tire with 5 tires each. How many cars have 4 tires? ** The lot has 16 - 4 = <<16-4=12>>12 cars with 4 tires each. How many tires are on the used car lot’s vehicles in all? ** Thus, the used car lot’s vehicles have 8 * 2 + 4 * 5 + 12 * 4 = 16 + 20 + 48 = <<8*2+4*5+12*4=84>>84 tires in all. #### 84 Samuel bought 2 dozen doughnuts and Cathy bought 3 dozen doughnuts. They planned to share the doughnuts evenly with their 8 other friends. How many doughnuts will each of them receive? How many doughnuts does Samuel have? ** Since 1 dozen is equal to 12, then Samuel has 2 x 12 = <<24=24>>24 doughnuts. How many doughnuts does Cathy have? ** While Cathy has 3 x 12 = <<3*12=36>>36. How many doughnuts do Samuel and Cathy have together? ** They both have 24 + 36 = <<24+36=60>>60 doughnuts together. How many friends will share the doughnuts? ** There are 8 friends + 1 (Samuel) + 1 (Cathy) = <<8+1+1=10>>10 that will share the doughnuts. How many doughnuts will each of them receive? ** Thus, each of them will get 60/10 = <<60/10=6>>6 doughnuts. #### 6 Laura is planning her wedding. She expects 220 people to attend the wedding, but she has been told that approximately 5% typically don't show. How many people will go to her wedding? How many people will go to her wedding? ** Laura expects 100 - 5 = <<100-5=95>>95% to show up. How many people will go to her wedding? ** Laura expects 220 * 0.95 = <<220*0.95=209>>209 guests. #### 209 A roadwork company is paving a newly constructed 16-mile road. They use a mixture of pitch and gravel to make the asphalt to pave the road. Each truckloads of asphalt uses two bags of gravel and five times as many bags of gravel as it does barrels of pitch to make. It takes three truckloads of asphalt to pave each mile of road. The company paved 4 miles of road on one day, then one mile less than double that on the second day. How many barrels of pitch will the company need to finish the remaining road on the third day? How many miles did the company pave on the second day? ** On the second day, the company paved 4 * 2 - 1 = <<4*2-1=7>>7 miles. How many miles of road remain to pave? ** The company has 16 - 7 - 4 = <<16-7-4=5>>5 miles of road remaining to pave. How many truckloads of asphalt will the company need to pave the remaining 5 miles of road? ** They will need 3 * 5 = <<3*5=15>>15 truckloads of asphalt to pave 5 miles of road. How many bags of gravel will the company need to pave the remaining 5 miles of road? ** For 15 truckloads, they will need 15 * 2 = <<15*2=30>>30 bags of gravel. How many barrels of pitch will the company need to finish the remaining road on the third day? ** Thus, the company will need 30 / 5 = <<30/5=6>>6 barrels of pitch to finish the road on the third day. #### 6 Dorothy earns $60000 a year from her work. She needs to pay 18% of this amount in taxes. How much money will she have left after she pays the taxes? How much money will Dorothy need to pay in taxes? ** The amount in taxes Dorothy needs to pay is 18/100 * 60000 = $<<18/100*60000=10800>>10800. How much money will Dorothy have left after she pays the taxes? ** So she is going to be left with 60000 - 10800 = $<<60000-10800=49200>>49200. #### 49200 Kantana loves chocolate. Every Saturday she goes to the candy store and buys 2 chocolates for herself and 1 for her sister. This last Saturday she picked up an additional 10 chocolates as a birthday gift for her friend Charlie. How many chocolates did Kantana end up buying for the month? How many Saturdays are there in a month? ** There is 1 Saturday in a week and there are 4 weeks in a month so there are 1 * 4= <<1*4=4>>4 Saturdays in a month (on average) How many chocolates does Kantana buy for herself? ** If Kantana buys herself 2 chocolates every Saturday then this means she buys 2 * 4=<<2*4=8>>8 chocolates for herself for the month. How many additional chocolates does Kantana buy for her sister? ** Kantana also buys her sister 1 chocolate on these trips so she is picking up an additional 1* 4=<<1*4=4>>4 additional chocolates for her sister for the month. How many chocolates did Kantana end up buying for the month? ** Kantana decided to also purchase some chocolates for her friend Charlie for his birthday. She bought Charlie 10 chocolates. This means that for the month she bought 10 chocolates for Charlie, 4 chocolates for her sister, and 8 chocolates for herself, 10+4+8= <<10+4+8=22>>22 chocolates bought in total for the month. #### 22 Martha needs 4 cups of berries and 2 cups of heavy cream to make 1 quart of ice cream. She wants to make 1 quart of strawberry ice cream and 1 quart of raspberry ice cream. At the farmers market, the 2 cup packages of strawberries are $3.00 each and the 2 cup package of raspberries are $5.00 each. The heavy cream is sold for $4.00 for a 4 cup container. How much will it cost her to make 1 quart of each ice cream? How many packages of strawberries does Martha need? ** She needs 4 cups of strawberries per quart of ice cream and the strawberries are sold in 2 cup packages. So 4/2 = <<4/2=2>>2 packages of strawberries How much do the strawberries cost? ** The strawberries cost $3.00 per package and she needs 2 so 3*2=$<<3*2=6.00>>6.00 How many packages of raspberries does Martha need? ** She needs 4 cups of raspberries per quart of ice cream and the raspberries are sold in 2 cup packages. So 4/2 = <<4/2=2>>2 packages of raspberries How much do the raspberries cost? ** The raspberries cost $5.00 per package and she needs 2 so 5*2 = $<<5*2=10.00>>10.00 How many quarts are she making? ** Every quart needs 2 cups of heavy cream and she's making 2 quarts so 2*2 = <<2*2=4>>4 quarts How much will it cost her to make 1 quart of each ice cream? ** She will spend $6.00 on strawberries, $10.00 on raspberries and $4.00 on heavy cream bringing the total to 6+10+4 = $<<6+10+4=20.00>>20.00 #### 20 Eve wants to buy her 3 nieces cooking gear that's made for kids. The hand mitts cost $14.00 and the apron is $16.00. A set of 3 cooking utensils is $10.00 and a small knife is twice the amount of the utensils. The store is offering a 25% off sale on all cooking gear. How much will Eve spend on the gifts? How much does the small knife cost? ** A small knife is twice the amount of the utensils that costs $10.00 so the knife costs 2*10 = $<<2*10=20.00>>20.00 How much will each little kit cost? ** All total, each little kit will costs $14.00 for mitts, $16.00 for an apron, $10.00 for utensils and $20.00 for a knife for a total of 14+16+10+20 = $<<14+16+10+20=60.00>>60.00 How much is each little kit currently discounted? ** Each kit costs $60.00 and they are currently 25% off so that's a savings of 60*.25 = $<<60*.25=15.00>>15.00 How much do the kits cost after the discount? ** The kits are $60.00 and they are $15.00 off so they now cost 60-15 = $<<60-15=45.00>>45.00 How much will each little kit cost? ** She needs to buy 3 kits and each kit costs $45.00 so that's 3*45 = $<<3*45=135.00>>135.00 #### 135 Alex has 2 cakes that are each cut into 8 slices. A fourth of the slices are given away to his friends. A third of the remaining slices are given away to his family. Alex eats 3 slices. How many slices of the cake are left? How many slices of cake are there originally? ** There are 2*8 = <<2*8=16>>16 slices of cake. How many slices are given away to Alex’s friends? ** There are 16/4 = <<16/4=4>>4 slices How many slices are left? ** There are 16-4 = <<16-4=12>>12 slices left. How many slices are given away to Alex’s family? ** There are 12/3 = <<12/3=4>>4 slices given away How many slices of the cake are left? ** There are 12-4-3 = <<12-4-3=5>>5 slices of cake left. #### 5