Three cats sat on a fence, meowing at the moon. The first cat meowed 3 times per minute. The second cat meowed twice as frequently as the first cat. And the third cat meowed at one-third the frequency of the second cat. What is the combined total number of meows the three cats make in 5 minutes?

How many meows does the second cat make? ** The second cat meowed twice as frequently as the three meows per minute from the first cat, for a total of 2*3=

<<2*3=6>>6 meows per minute. How many meows does the third cat make? ** The third cat meowed at one-third the frequency of the second cat, for a total of 6/3=<<6/3=2>>2 meows per minute. What is the combined total number of meows the three cats make in 5 minutes? ** Thus, combined, the three cats meow 3+6+2=<<3+6+2=11>>11 times per minute. What is the combined total number ** In five minutes, the three cats meow 5*11=<<5*11=55>>55 times. #### 55 A school principal is booking hotel rooms for a class of 30 students to stay at during an overnight field trip. Each of the hotel's rooms has two queen size beds, which can fit two students each, and a pull-out couch, which can fit one student. How many rooms does the principal need to book to fit all of the students in the class? How many students can each room fit? ** Each room can fit 2*2 + 1 = <<2*2+1=5>>5 students. How many rooms does the principal need to book to fit all of the students in the class? ** Thus, the principal needs to book 30/5 = <<30/5=6>>6 rooms to fit everyone. #### 6 Dan owns an ice cream shop and every sixth customer gets a free ice cream cone. Cones cost $2 each. If he sold $100 worth of cones, how many free ones did he give away? How many cones did Dan sell? ** He sold 50 cones because 100 / 2 = <<100/2=50>>50 How many free cones did Dan give away? ** He gave away 10 cones because 50 / 5 = <<50/5=10>>10 #### 10 Ali had a collection of seashells. He started with 180 seashells. He then gave away 40 seashells to his friends. He also gave 30 seashells to his brothers. If he sold half of the remaining seashells, how many seashells did he have left? How many seashells did Ali have after giving away 40 seashells? ** When he gave 40 seashells to his friends, Ali had 180-40= <<180-40=140>>140 seashells. How many seashells did Ali have after giving away 30 seashells? ** When he gave another 30 seashells to his brothers, he had 140-30 = <<140-30=110>>110 seashells How many seashells did Ali sell? ** He also sold half of the seashells, a total of 1/2*110 = <<55=55>>55 seashells How many seashells did Ali have left? ** He was left with 110-55= <<110-55=55>>55 seashells #### 55 Studying for her test, Mitchell had read ten chapters of a book before 4 o'clock. When it clocked 4, Mitchell had read 20 pages of the 11th chapter of the book she was studying from. After 4 o'clock, she didn't read the remaining pages of chapter eleven but proceeded and read 2 more chapters of the book. If each chapter in the book had 40 pages, calculate the total number of pages that Mitchell had read altogether? How many pages did Mitchell read from the first ten chapters? ** Since each chapter of the book has 40 pages, Mitchell had read 10*40 = <<10*40=400>>400 pages from the first ten chapters. How many pages did Mitchell read altogether? ** After reading 20 pages of the eleventh chapter, the total number of pages that Mitchell had read is 400+20 = <<400+20=420>>420 How many pages did Mitchell read from the next two chapters? ** The next two chapters that she read had 2*40 = <<2*40=80>>80 pages. How many pages did Mitchell read altogether? ** In total, Mitchell read 420+80 = <<420+80=500>>500 pages of the book that day. #### 500 James buys 5 packs of beef that are 4 pounds each. The price of beef is $5.50 per pound. How much did he pay? How many pounds of beef did James buy? ** He bought 5*4=<<5*4=20>>20 pounds of beef How much did James pay? ** So he paid 20*5.5=$<<20*5.5=110>>110 #### 110 There are 40 students in a class. If 1/10 are absent, 3/4 of the students who are present are in the classroom, and the rest are in the canteen, how many students are in the canteen? How many students are absent? ** Out of the 40, 40 x 1/10 = <<40*1/10=4>>4 students are absent. How many students are present in school? ** So, 40 - 4 = <<40-4=36>>36 students are present in school. How many students are in the classroom? ** Out of the 36, 36 x 3/4 = <<36*3/4=27>>27 students are in the classroom. How many students are in the canteen? ** This means, 36 - 27 = <<36-27=9>>9 students are in the canteen. #### 9 A couple with two children, ages 6 and 10 years old, decided to go to an amusement park. The regular ticket costs $109, but children below 12 years old have a $5 discount. If they gave the cashier $500, how much change will they receive? How much does each child's ticket cost? ** The ticket costs 109 - 5 = $<<109-5=104>>104 for each child. How much does the two children's tickets cost? ** So the ticket cost of the two children is 104 x 2 = $<<104*2=208>>208. How much does the couple need to pay? ** The couple needs to pay the regular price, so it's 109 x 2 = $<<109*2=218>>218. How much does the family need to pay? ** Thus, the family needs to pay a total of 208 + 218 = $<<208+218=426>>426. How much change will they receive? ** Therefore, their change is 500 - 426 = $<<500-426=74>>74. #### 74 Kennedy's house is 600 square feet larger than 4 times Benedict's house. If Kennedy's house is 10000 square feet, how many square feet is Benedict's house? How many square feet is Benedict's house? ** Let the number of square feet in Benedict's house be x. So, we can write the equation 4 * x + 600 = 10000. How many square feet is Benedict's house? ** Subtracting 600 from both sides we get 4 * x = 9400 How many square feet is Benedict's house? ** Dividing both sides by 4 we get x = 2350 square feet. #### 2350 Loraine makes wax sculptures of animals. Large animals take four sticks of wax and small animals take two sticks. She made three times as many small animals as large animals, and she used 12 sticks of wax for small animals. How many sticks of wax did Loraine use to make all the animals? How many small animals did Loraine make? ** Loraine made 12 / 2 = <<12/2=6>>6 small animals. How many large animals did Loraine make? ** She made 6 / 3 = <<6/3=2>>2 large animals. How many sticks of wax did Loraine use on large animals? ** She used 2 * 4 = <<2*4=8>>8 sticks of wax on large animals. How many sticks of wax did Loraine use to make all the animals? ** Therefore, Loraine used 12 + 8 = <<12+8=20>>20 sticks of wax for all the animals. #### 20