Janet buys a multi-flavor pack of cheese sticks. 15 of the sticks are cheddar, 30 are mozzarella, and 45 are pepperjack. If Janet picks a cheese stick at random, what is the percentage chance it will be pepperjack?

First find the total number of cheesesticks: 15 cheddar + 30 mozzarella + 45 pepperjack =

<<15+30+45=90>>90 cheese sticks Then divide the number of pepperjack sticks by the total number of cheese sticks and multiply by 100% to express the answer as a percentage: 45 pepperjack sticks / 90 cheese sticks * 100% = 50% #### 50 Jenna catches an eel that's 1/3 as long as Bill's. If the combined length of their eels is 64 inches, how long is Jenna's eel? Let j be the length of Jenna's eel and b be the length of Bill's eel. We know that b = 3j and b + j = 64. Substituting the first equation into the second equation, we get 3j + j = 64 Combining like terms, we get 4j = 64 Dividing both sides by 4, we get j = 16 #### 16 There is a massive rainstorm lasting 4 days. There is an area that collects water to prevent flooding in the area. It ends up overflowing on the 4th day. The area can hold the equivalent of 6 feet of rain. It can also drain out the equivalent of 3 inches of rain per day to the nearby river without causing problems. The first day it rained 10 inches. The second day it rained twice that much. On the third day, it rained 50% more than the second day. It flooded the fourth day before getting a chance to do any of the draining. What is the minimum amount it rained on the fourth day? The second day it rained 10*2=<<10*2=20>>20 inches On the third day it rained 20*1.5=<<20*1.5=30>>30 inches So in the first 3 days, it rained 10+20+30=<<10+20+30=60>>60 inches It drained 4-1=<<4-1=3>>3 days So it drained 3*3=<<3*3=9>>9 inches That means on the start of the fourth day, there were 60-9=<<60-9=51>>51 inches in the pond The area can hold 6*12=<<6*12=72>>72 inches So it rained at least 72-51=<<72-51=21>>21 inches #### 21 James decides to go to prom with Susan. He pays for everything. The tickets cost $100 each. Dinner is $120. He leaves a 30% tip. He also charters a limo for 6 hours that cost $80 per hour. How much did it all cost? He paid 100*2=$<<100*2=200>>200 for tickets The tip for dinner was $120*.3=$<<120*.3=36>>36 So he paid $120+$36=$<<120+36=156>>156 for dinner The limo cost $80*6=$<<80*6=480>>480 In total he paid $200+$156+$480=$<<200+156+480=836>>836 #### 836 Lola and Tara decide to race to the top of a 20 story building. Tara takes the elevator and Lola runs up the stairs. Lola can run up 1 story in 10 seconds. The elevator goes up a story in 8 seconds but stops for 3 seconds on every single floor. How long would it take for the slower one of Lola and Tara to reach the top floor? Lola climbs 20 stories in 20 stories x 10 seconds/story = <<20*10=200>>200 seconds Tara can go up the elevator in 8 seconds/story x 20 stories = <<8*20=160>>160 seconds without the stops at each floor. The elevator stops for 3 seconds on each floor for a total of 20 stories x 3 seconds/story = <<20*3=60>>60 seconds. In total it takes Tara 160 seconds + 60 seconds = <<160+60=220>>220 seconds to reach the top floor. Because 200 < 220 Lola wins. #### 220 Maggie went to Lou's aquarium and saw 100 goldfish in the aquarium. She asked if she could take some home to care for, and she was allowed to catch half of them. While using a catching net, she caught 3/5 of the total number of goldfish she was allowed to take home. How many goldfish does Maggie remain with to catch to get the total number she was allowed to take home? Maggie was allowed to take half of the goldfish in the aquarium, a total of 1/2*100 = <<1/2*100=50>>50 goldfish On her first catch, Maggie got 3/5*50 = <<3/5*50=30>>30 goldfish. To reach the number of goldfish she was allowed to take home, Maggie has to catch 50-30 = <<50-30=20>>20 more goldfish. #### 20 3000 bees hatch from the queen's eggs every day. If a queen loses 900 bees every day, how many total bees are in the hive (including the queen) at the end of 7 days if at the beginning the queen had 12500 bees? 3000 new bees are born every day. In 7 days there will be 3000*7=<<3000*7=21000>>21000 new bees If each day the queen loses 900 bees, in 7 days there will be 900*7=<<900*7=6300>>6300 fewer bees If at the beginning the queen had 12500 bees, then at the end of 7 days she will have 12500+21000-6300=<<12500+21000-6300=27200>>27200 bees The total number of bees in the hive including the queen is 27200+1 =<<27200+1=27201>>27201 #### 27201 John can produce 1000 tires a day. It cost $250 to produce each tire. He manages to sell them for 1.5 times as much. He could sell 1200 tires a day if his factory was able to produce more. How much money does he lose out a week by not being able to produce all the tires? He sells each tire for 250*1.5=$<<250*1.5=375>>375 That means he makes a profit of 375-250=$<<375-250=125>>125 per tire His production is 1200-1000=<<1200-1000=200>>200 short So he loses out on 125*200=$<<125*200=25000>>25,000 a day So he loses out on 25000*7=$<<25000*7=175000>>175,000 a week #### 175000 Alice is making a big stack of dishes to see how tall she can make it before it topples over and falls. She starts off by placing 27 plates on top of each other. The tower holds fine so she adds 37 more plates. She is in the process of placing more and more plates when it finally topples over and crashes down, all 83 plates. How many more was Alice able to add before the tower fell and crashed? Alice was able to stack 27 + 37 = <<27+37=64>>64 plates she already stacked. The tower crashes when there are 83 plates - 64 plates already stacked = <<83-64=19>>19 plates she was able to stack before the tower crashed. #### 19 Carly recently graduated and is looking for work in a field she studied for. She sent 200 job applications to companies in her state, and twice that number to companies in other states. Calculate the total number of job applications she has sent so far. If she sent 200 job applications to her state, she sent 200*2 = <<200*2=400>>400 job applications to other states. The total number of job applications she has sent is 400+200 = <<400+200=600>>600 #### 600