An aquarium holds an equal number of clownfish and blowfish. 26 of the blowfish stay in their own tank, and the remaining blowfish swim into a display tank. An equal number of clownfish join the blowfish in the display tank, but then a third of these clownfish swim back into their own tank. If the aquarium holds a combined total of 100 fish, how many clownfish are now in the display tank?

How many blowfish are there? ** There is an equal number of clownfish and blowfish, which means there are 100 fish / 2 =

<<100/2=50>>50 blowfish. How many blowfish are in the display tank? ** Since some stay in their tanks, there are 50 blowfish – 26 blowfish = <<50-26=24>>24 blowfish in the display tank. How many clownfish swam back to their own tank? ** There were the same amount of clownfish until 24 clownfish / 3 = <<24/3=8>>8 clownfish swam back to their own tank. How many clownfish are now in the display tank? ** This leaves 24 clownfish – 8 clownfish = <<24-8=16>>16 clownfish in the display tank. #### 16 Jeanette is practicing her juggling. Each week she can juggle 2 more objects than the week before. If she starts out juggling 3 objects and practices for 5 weeks, how many objects can she juggle? How many objects does Jeanette learn to juggle? ** First find the total number of additional objects she learns to juggle: 2 objects/week * 5 weeks = <<2*5=10>>10 objects How many objects can Jeanette juggle? ** Then add the initial number of objects she could juggle to find the total: 10 objects + 3 objects = <<10+3=13>>13 objects #### 13 Jessa needs to make cupcakes for 3 fourth-grade classes that each have 30 students and a P.E. class with 50 students. How many cupcakes does she need to make? How many cupcakes does Jessa need for the fourth-grade classes? ** For the fourth-grade classes, Jessa needs 3 classes * 30 cupcakes/class = <<3*30=90>>90 cupcakes How many cupcakes does Jessa need to make? ** Adding the cupcakes for the P.E. class 50, she needs to make a total of 90 cupcakes + 50 cupcakes = <<90+50=140>>140 cupcakes #### 140 Carrie works for $8 an hour and 35 hours a week at her job. It’s been a month since she started working there. She has saved up all of her money because she wants to buy a bike for $400. How much money will she have left over after she buys her bike? How much money does Carrie make in a week? ** It will be easy to solve the problem by first calculating how much money she makes in a week at her job by multiplying her hourly rate by the number of hours she works in a week: $8 * 35 = $<<8*35=280>>280 in a week How much money did Carrie make in a month? ** The weekly earnings need to be multiplied by the number of weeks in a month to get how much she made in a month: $280 * 4 = $<<280*4=1120>>1120 How much money will Carrie have left over after she buys her bike? ** The bike’s cost must be subtracted from her earnings made in a month to get how much money is left over after purchasing the bike: $1120 - $400 = $<<1120-400=720>>720 is left over after purchasing her bike #### 720 Stella and Twinkle are filling up a truck with a capacity of 6000 stone blocks at the rate of 250 blocks per hour per person. They work for four hours and are then joined by 6 other people who also work at the same rate. How many hours did filling the truck take? How many blocks did Stella and Twinkle fill up the truck in an hour? ** Stella and Twinkle filled up the truck at the rate of 250 blocks per hour per person, a total of 2*250 = <<250*2=500>>500 blocks per hour for both. How many blocks did Stella and Twinkle fill up the truck in four hours? ** After working for four hours, Stella and Twinkle had filled 4*500 = <<4*500=2000>>2000 blocks into the truck. How many blocks did Stella and Twinkle have to put into the truck for it to be full? ** The number of blocks they had to put into the truck for it to be full is 6000-2000 = <<6000-2000=4000>>4000 How many people were filling the truck now? ** When 6 more people joined Stella and Twinkle, a total of 2+6 = <<2+6=8>>8 people were filling the truck now. How many blocks did the eight people fill the truck in an hour? ** Working at the rate of 250 blocks per person, the eight people filled the truck with 250*8 = <<250*8=2000>>2000 blocks in one hour. How many hours did the 8 people take to fill the truck? ** If there were 4000 blocks that still needed to be put into the truck, the 8 people took 4000/2000 = <<4000/2000=2>>2 hours to fill the truck with the blocks. How many hours did filling the truck take? ** The total time it took to fill up the tank is 4+2 = <<4+2=6>>6 hours. #### 6 In a conference room, 40 chairs with a capacity of 2 people each were arranged in rows in preparation for the board meeting of a company, whose number of members was the same as the chairs' capacity. If 2/5 of the chairs were not occupied, and the rest each had two people, calculate the number of board members who did attend the meeting. How many people can the 40 chairs hold? ** The total capacity of the 40 chairs was 40*2=<<40*2=80>>80 people. How many people missed the board meeting? ** If 2/5 of the chairs were unoccupied, 2/5*80=<<2/5*80=32>>32 people missed the board meeting since the number of members was the same as the chair's capacity. How many board members attended the meeting? ** The number of board members who attended the meeting was 80-32=<<80-32=48>>48 #### 48 A bulk warehouse is offering 48 cans of sparkling water for $12.00 a case. The local grocery store is offering the same sparkling water for $6.00 and it only has 12 cans. How much more expensive, per can, in cents, is this deal at the grocery store? How much does each can cost at the bulk warehouse? ** The bulk warehouse has 48 cans for $12.00 so that's 12/48 = $0.25 a can How much does each can cost at the grocery store? ** The local grocery store has 12 cans for $6.00 so that's 6/12 = $0.50 a can How much more expensive, per can, is this deal at the grocery store? ** The grocery store offer is $0.50 a can and the warehouse is $0.25 a can so the grocery store is .50-.25 = $<<0.50-.25=0.25>>0.25 more expensive per can #### 25 Joy is winding balls of yarn for her cat to play with. The first ball is half the size of the second ball. The third ball is three times as large as the first ball. She used 27 feet of yarn for the third ball. How many feet of yarn did she use for the second ball? How many feet of yarn did the first ball use? ** The first ball is a third of the size of the third ball, so it used 27 / 3 = <<27/3=9>>9 feet of yarn. How many feet of yarn did the second ball use? ** The second ball is twice the size of the first ball, so she used 9 * 2 = <<9*2=18>>18 feet of yarn. #### 18 Haley grows at the rate of 3 inches every year. If she is currently 20 inches tall, what will be her height after 10 years? How many inches will Haley have grown after 10 years? ** After 10 years, growing at the rate of 3 inches every year, Haley will have grown by 3*10 = <<3*10=30>>30 inches. What will be Haley's height after 10 years? ** If she is currently 20 inches tall, her height after 10 years will be 20+30 = <<20+30=50>>50 inches. #### 50 John has five more roommates than twice as many as Bob. If Bob has 10 roommates, how many roommates does John have? How many roommates does Bob have? ** Twice ten roommates is 2*10 = <<2*10=20>>20 How many roommates does John have? ** John has 5 more than 20 roommates which is 20+5 = <<5+20=25>>25 roommates #### 25