There are 20 students in a class. Only one-fourth of the students stayed in the classroom while the rest went to the playground. Of those who went to the playground, one-third are boys. How many girls are there on the playground from this class?

How many students stayed in the classroom? ** Out of the 20 students, 20 x 1/4 =

<<20*1/4=5>>5 students stayed in the classroom. How many students went to the playground? ** While 20 - 5 = <<20-5=15>>15 students went to the playground. How many boys are there on the playground? ** Out of these 15 students, 15 x 1/3 = <<15*1/3=5>>5 are boys. How many girls are there on the playground from this class? ** Therefore, 15 - 5 = <<15-5=10>>10 girl students from this class are in the playground. #### 10 Alex and Max are running a race against each other. At the beginning of the race they are even with each other for 200 feet. Then Alex gets ahead of Max by 300 feet. Then Max gets ahead of Alex by 170 feet. Alex gets a burst of speed and gets ahead of Max by 440 feet. If the road they're running on is 5000 feet long, how many feet are there left for Max to catch up to Alex? How many feet have Alex and Max run so far? ** So far Alex and Max are running the race for 200 + 300 + 170 + 440 = <<200+300+170+440=1110>>1,110 feet. How many feet are left for Max to catch up to Alex? ** If the road they're racing each other on is 5000 feet long, 5000 - 1,110 feet = <<5000-1110=3890>>3,890 feet left for Max to catch up to Alex. #### 3,890 Francie saves up her allowance for several weeks. She receives an allowance of $5 a week for 8 weeks. Then her dad raises her allowance, and she receives $6 a week for 6 weeks. Francie uses half of the money to buy new clothes. With the remaining money, she buys a video game that costs $35. How much money does Francie have remaining after buying the video game? How much money does Francie get in total? ** When her allowance is $5 a week, Francie gets a total of $5 * 8 = $<<5*8=40>>40 How much money does Francie get in total? ** When her allowance is $6 a week, Francie gets a total of $6 * 6 = $<<6*6=36>>36 How much money does Francie get in total? ** The total amount of money Francie gets is $40 + $36 = $<<40+36=76>>76 How much money does Francie have remaining after buying new clothes? ** After purchasing new clothes, she has $76 / 2 = $<<76/2=38>>38 remaining How much money does Francie have remaining after buying the video game? ** After buying the video game, Francie has $38 - $35 = $<<38-35=3>>3 remaining #### 3 In a triangle with angles A, B, and C, A is 60 degrees, and B is two times as big as C. Calculate the angle of B. How many degrees are B and C? ** Since the angles in a triangle adds up to 180, and A is 40 degrees, B and C have a total of 180-60 = <<180-60=120>>120 degrees. How many degrees are B and C? ** Since B is two times bigger than C, the total of the angles of B and C is equal to 2C+C = 120 Write an equation ** 3C=120 How many degrees is C? ** The angle of C is C=120/3 How many degrees is C? ** C is <<40=40>>40 How many degrees is B? ** Since B is two times as big as C, B is 2*40 = 80 degrees. #### 80 There are 50 more pens than notebooks on Wesley's school library shelf. If there are 30 notebooks on the shelf, how many notebooks and pens, does he have altogether? How many pens are there? ** If there are 30 notebooks on the shelf, there are 50+30 = <<30+50=80>>80 pens on the shelf. How many notebooks and pens does Wesley have altogether? ** Altogether, Wesley has 80+30 = <<80+30=110>>110 notebooks and pens on the shelf. #### 110 20 birds migrate on a seasonal basis from one lake to another, searching for food. If they fly from lake Jim to lake Disney in one season, which is 50 miles apart, then the next season they fly from lake Disney to lake London, 60 miles apart, calculate the combined distance all of the birds have traveled in the two seasons. How far do the birds fly between Lake Jim and Lake London? ** The birds' flying distance between Lake Jim through lake Disney to lake London is 50+60 = <<50+60=110>>110 miles. How far do the birds fly together? ** Since each bird flies the 110 miles distance while migrating, the combined distance they fly together is 110*20 = <<110*20=2200>>2200 miles. #### 2200 The sum of the ages of Jeremy, Sebastian and Sophia in three years is 150. Currently, Sebastian is 4 years older than Jeremy. If Jeremy's age is 40, calculate Sophia's age three years from now? How old will Jeremy be in three years? ** The age of Jeremy three years from now will be 40+3 = <<40+3=43>>43 years How old is Sebastian? ** Since Sebastian age is four years more than Jeremy's, Sebastian is currently 40+4 = 44 years. How old will Sebastian be in three years? ** In three years, Sebastian will be 44+3 = <<44+3=47>>47 years old How old will Jeremy and Sebastian be in three years? ** The total age of Jeremy and Sebastian in three years will be 47+43 = <<47+43=90>>90 How old will Sophia be in three years? ** If the total age of Jeremy, Sebastian and Sophia in three years is 150, then Sophia's age in three years will be 150-90 = <<150-90=60>>60 #### 60 Sonny received 45 boxes of cookies from his friend yesterday. He gave 12 to his brother, 9 to his sister, and he gave 7 to his cousin. How many boxes of cookies were left for him? How many boxes of cookies did Sonny give away? ** Sonny gave 12 + 9 + 7 = <<12+9+7=28>>28 boxes of cookies. How many boxes of cookies were left for him? ** Therefore, he was left with 45 - 28 = <<45-28=17>>17 boxes of cookies. #### 17 Tom's rabbit can run at 25 miles per hour. His cat can run 20 miles per hour. The cat gets a 15-minute head start. In hours, how long will it take for the rabbit to catch up? How many minutes did the cat get a head start? ** The cat got a 15/60=<<15/60=.25>>.25 hour head start How many miles did the cat run? ** That means it ran 20*.25=<<20*.25=5>>5 miles How fast is the rabbit? ** The rabbit goes 25-20=<<25-20=5>>5 mph faster than the cat How long will it take for the rabbit to catch up? ** So it takes 5/5=<<5/5=1>>1 hour for the rabbit to catch up #### 1 Carl is hosting an open house for his new business. He knows 50 people will show up and hopes that another 40 people will randomly show up. He’s created 10 extravagant gift bags for the first 10 people who visit his shop. He’s made average gift bags for 20 people but needs to make enough for everyone who visits to have one. How many more bags does he need to make? How many people are showing up? ** He knows 50 people are showing up and he’s hoping 40 more people will drop in for a total of 50+40 = <<50+40=90>>90 people How many bags has he made? ** He’s made 10 extravagant gift bags and 20 average bags for a total of 10+20 = <<10+20=30>>30 bags How many more bags does he need to make? ** He hopes 90 people will show up and has already made 30 bags so he needs to make 90-30 = <<90-30=60>>60 more gift bags #### 60