Madison takes her dog to the dog park. Counting Madison's dog, half the dogs have spots and 1/5 have pointy ears. If 15 dogs have spots, how many have pointy ears?

How many dogs have spots? ** First double the number of dogs with spots to find the total number of dogs: 15 dogs * 2 =

<<15*2=30>>30 dogs How many dogs have pointy ears? ** Then multiply that number by 1/5 to find the number that have pointy ears: 30 dogs * 1/5 = <<30*1/5=6>>6 dogs #### 6 A box is 8 inches in height, 10 inches in width, and 12 inches in length. A wooden building block is 3 inches in height, 2 inches in width, and 4 inches in length. How many building blocks can fit into the box? How many cubic inches are in the box? ** The volume of the box is 8 x 10 x 12 = <<8*10*12=960>>960 cu in. How many cubic inches are in a wooden block? ** The volume of a wooden block is 3 x 2 x 4 = <<3*2*4=24>>24 cu in. How many building blocks can fit into the box? ** 960/24 = <<960/24=40>>40 wooden blocks can fit into the box. #### 40 Bella has two times as many marbles as frisbees. She also has 20 more frisbees than deck cards. If she buys 2/5 times more of each item, what would be the total number of the items she will have if she currently has 60 marbles? How many more marbles will Bella have after buying 2/5 times more marbles? ** When Bella buys 2/5 times more marbles, she'll have increased the number of marbles by 2/5*60 = <<2/5*60=24>>24 How many marbles will Bella have after buying 2/5 times more marbles? ** The total number of marbles she'll have is 60+24 = <<60+24=84>>84 How many frisbees does Bella have? ** If Bella currently has 60 marbles, and she has two times as many marbles as frisbees, she has 60/2 = <<60/2=30>>30 frisbees. How many more frisbees will Bella have after buying 2/5 times more frisbees? ** If Bella buys 2/5 times more frisbees, she'll have 2/5*30 = <<2/5*30=12>>12 more frisbees. How many frisbees will Bella have after buying 2/5 times more frisbees? ** The total number of frisbees she'll have will increase to 30+12 = <<30+12=42>>42 How many deck cards does Bella have? ** Bella also has 20 more frisbees than deck cards, meaning she has 30-20 = <<20-10=10>>10 deck cards How many more deck cards will Bella have after buying 2/5 times more deck cards? ** If she buys 2/5 times more deck cards, she'll have 2/5*10 = <<2/5*10=4>>4 more deck cards. How many deck cards will Bella have after buying 2/5 times more deck cards? ** The total number of deck cards she'll have is 10+4 = <<10+4=14>>14 How many items will Bella have if she currently has 60 marbles? ** Together, Bella will have a total of 14+42+84 = <<14+42+84=140>>140 items #### 140 Gracie was 7 inches shorter than Grayson. Grayson was 2 inches taller than Griffin. Griffin is 61 inches tall. How many inches tall is Gracie? How many inches tall is Grayson? ** Grayson = 61 + 2 = <<61+2=63>>63 inches How many inches tall is Gracie? ** Gracie = 63 - 7 = <<63-7=56>>56 inches How many inches tall is Gracie? ** Gracie is 56 inches tall. #### 56 3/5 of the mangoes on a mango tree are ripe. If Lindsay eats 60% of the ripe mangoes, calculate the number of ripe mangoes remaining if there were 400 mangoes on the tree to start with. How many ripe mangoes are there? ** The number of ripe mangoes from the tree is 3/5*400 = <<3/5*400=240>>240 How many ripe mangoes does Lindsay eat? ** If Lindsay eats 60% of the ripe mangoes, she eats 60/100*240 = <<60/100*240=144>>144 mangoes. How many ripe mangoes remain? ** The total number of ripe mangoes remaining is 240-144 =<<240-144=96>>96 #### 96 Harris feeds his dog 1 large organic carrot over the course of 1 day. There are 5 carrots in a 1 pound bag and each bag costs $2.00. In one year, how much will Harris spend on carrots? How many carrots does Harris' dog eat in a year? ** His dog gets 1 carrot a day and there are 365 days in a year, so his dog eats 1*365 = <<1*365=365>>365 carrots How many bags of carrots will Harris need? ** There are 5 carrots per bag and he will need 365 carrots, so that's 365/5 = 73 bags of carrots How much will Harris spend on organic carrots? ** The bags cost $2.00 and he will need 73 bags so that's $2*73 = $<<2*73=146.00>>146.00 worth of organic carrots #### 146 Ping pong balls sell for $.10 each. Johnny buys 10000 for a prank. He gets a 30% discount for buying in such large bulk. How much does he pay? How much do the ping pong balls cost? ** The ping pong balls cost 10000*.10=$<<10000*.10=1000>>1000 How much does Johnny get off? ** So the discount is 1000*.30=$<<1000*.30=300>>300 How much does Johnny pay? ** So he pays 1000-300=$<<1000-300=700>>700. #### 700 A parking garage near Nora's house is 4 stories tall. There are 100 spots per level. There are 58 open parking spots on the first level. There are 2 more open parking spots on the second level than on the first level, and there are 5 more open parking spots on the third level than on the second level. There are 31 open parking spots on the fourth level. How many full parking spots are there in all? How many spots are there in total? ** There are 4 levels * 100 spots = <<4*100=400>>400 possible parking spots. How many open spots are there on the second level? ** The second level has 58 open spots + 2 = <<58+2=60>>60 open spots. How many open spots are there on the third level? ** The third level has 60 open spots + 5 = <<60+5=65>>65 open spots. How many open spots are there in total? ** Total open spots are 58 + 60 + 65 + 31 = <<58+60+65+31=214>>214 open spots. How many full parking spots are there in all? ** If there are 400 possible spots – 214 open spots = <<400-214=186>>186 full spots. #### 186 Andy is a lawyer who's working on two lawsuits. The first lawsuit has a 30% chance of paying out $5,000,000 upon a win and $0 if he loses it. The second lawsuit has a 50% chance of paying out $1,000,000 if Andy loses and a 50% chance of paying out $2,000,000 if he wins. Expressed as a percentage, how much more likely is it that Andy loses both lawsuits compared to winning both of them? How likely is Andy to lose the first lawsuit? ** First find the probability that Andy will lose the first lawsuit: 100% - 30% = 70% How likely is Andy to lose both lawsuits? ** Then multiply that probability by the probability he loses the second lawsuit: 70% * 50% = 35% How likely is Andy to win both lawsuits? ** Then multiply the probabilities of Andy winning each lawsuit to find the probability he wins them both: 30% * 50% = 15% How much more likely is Andy to lose both lawsuits compared to winning both of them? ** Then subtract the probability Andy wins both lawsuits from the probability he loses both lawsuits to find the difference: 35% - 15% = 20% #### 20 John needs to take 2 pills a day. One pill costs $1.5. The insurance covers 40% of the cost. How much does he pay in a 30-day month? How much does one pill cost? ** It cost 2*1.5=$<<2*1.5=3>>3 a day. How much does it cost in a month? ** So it cost 3*30=$<<3*30=90>>90 per day. How much does the insurance cover? ** Insurance covers 90*.4=$<<90*.4=36>>36. How much does he pay in a month? ** So he pays 90-36=$<<90-36=54>>54 a month. #### 54