Apollo pulls the sun across the sky every night. Once a month, his fiery chariot’s wheels need to be replaced. He trades golden apples to Hephaestus the blacksmith to get Hephaestus to make him new wheels. Hephaestus raised his rates halfway through the year and now demands twice as many golden apples as before. He charged three golden apples for the first six months. How many golden apples does Apollo have to pay for the entire year of chariot wheels?

Apollo had to pay 3 * 6 =

<<3*6=18>>18 golden apples for the first six months. For the second six months, he had to pay twice that amount, or 18 * 2 = <<18*2=36>>36 golden apples. Thus, Apollo had to pay 18 + 36 = <<18+36=54>>54 golden apples for a year of chariot wheels. #### 54 John works at 2 different hospitals. At the first hospital, he sees 20 different patients each day. At the second hospital, he sees 20% more individual patients a day. He works 5 days a week. How many patients does he treat a year if he works 50 weeks a year? He treats 20*.2=<<20*.2=4>>4 extra patients So he treats 20+4=<<20+4=24>>24 patients at the second hospital So he treats 20+24=<<20+24=44>>44 patients a day That means he treats 44*5=<<44*5=220>>220 patients a week So he treats 220*50=<<220*50=11000>>11,000 patients a year #### 11000 The sum of the ages of three boys is 29. If two of the boys are the same age and the third boy is 11 years old, how old are the other two boys? The third boy is 11 so the sum of the ages of the first two is 29-11 = <<29-11=18>>18 The ages of the first two boys are equal so each of them is 18/2 = <<18/2=9>>9 years #### 9 A class composed of 12 girls and 10 boys was sent to the library for their reading class. Their teacher found out that only 5/6 of the girls and 4/5 of the boys are reading. How many students are not reading? There are 12 x 5/6 = <<12*5/6=10>>10 girls who are reading. So, 12 - 10 = <<12-10=2>>2 girls are not reading. There are 10 x 4/5 = <<10*4/5=8>>8 boys who are reading. So, 10 - 8 = <<10-8=2>>2 boys are not reading. Thus, there are a total of 2 girls + 2 boys = <<2+2=4>>4 students who are not reading. #### 4 Angelo and Melanie want to plan how many hours over the next week they should study together for their test next week. They have 2 chapters of their textbook to study and 4 worksheets to memorize. They figure out that they should dedicate 3 hours to each chapter of their textbook and 1.5 hours for each worksheet. If they plan to study no more than 4 hours each day, how many days should they plan to study total over the next week if they take a 10-minute break every hour, include 3 10-minute snack breaks each day, and 30 minutes for lunch each day? Angelo and Melanie think they should dedicate 3 hours to each of the 2 chapters, 3 hours x 2 chapters = <<3*2=6>>6 hours total. For the worksheets they plan to dedicate 1.5 hours for each worksheet, 1.5 hours x 4 worksheets = <<1.5*4=6>>6 hours total. Angelo and Melanie need to start with planning 12 hours to study, at 4 hours a day, 12 / 4 = <<12/4=3>>3 days. However, they need to include time for breaks and lunch. Every hour they want to include a 10-minute break, so 12 total hours x 10 minutes = <<12*10=120>>120 extra minutes for breaks. They also want to include 3 10-minute snack breaks, 3 x 10 minutes = <<3*10=30>>30 minutes. And they want to include 30 minutes for lunch each day, so 120 minutes for breaks + 30 minutes for snack breaks + 30 minutes for lunch = 180 minutes, or 180 / 60 minutes per hour = 3 extra hours. So Angelo and Melanie want to plan 12 hours to study + 3 hours of breaks = <<12+3=15>>15 hours total. They want to study no more than 4 hours each day, 15 hours / 4 hours each day = <<15/4=3.75>>3.75 They will need to plan to study 4 days to allow for all the time they need. #### 4 Frank and Bill have $42 and they bought 3 large pizzas with the money. Each pizza cost $11 and Frank paid for all three pizzas. Frank gave the rest of his money to Bill. If Bill had $30 already, how much money does Bill have now? Frank spent 11*3 = <<11*3=33>>33 dollars on pizza. Frank gives 42-33 = <<42-33=9>>9 dollars to Bill. Bill now has 30+9 = <<30+9=39>>39 dollars. #### 39 A courier received 80 packages yesterday and twice as many today. All of these should be delivered tomorrow. How many packages should be delivered tomorrow? There are 80 x 2 = <<80*2=160>>160 packages today. So, the courier will deliver 80 + 160 = <<80+160=240>>240 packages. #### 240 Eddy’s spider plant produces 2 baby plants 2 times a year. After 4 years, how many baby plants will the mother plant have produced? The mother plant produces 2 baby plants 2 times a year so it produces 2*2 = <<2*2=4>>4 plants a year It produces 4 plants a year so after 4 years it will produce 4*4 = <<4*4=16>>16 baby plants #### 16 Fifteen more than a quarter of a number is 27. What is the number? A quarter of the number is 27-15=<<27-15=12>>12. The number is 12*4=<<12*4=48>>48. #### 48 Wilfred eats 4 carrots on Tuesday and 6 carrots on Wednesday. If Wilfred wants to eat a total of 15 carrots from Tuesday to Thursday, how many carrots does Wilfred need to eat on Thursday? Across Tuesday and Wednesday, Wilfred eats 4 + 6 = <<4+6=10>>10 carrots On Thursday, Wilfred needs to eat 15 - 10 = <<15-10=5>>5 carrots #### 5