A child is making a 5-level pyramid by stacking some blocks. In the first row, he has 9 blocks. For the next rows, he has 2 less than the blocks he has from its bottom row. How many blocks did he use in all?
How many blocks did he use on the second row? ** On the second row, he used 9 - 2 =
<<9-2=7>>7 blocks. How many blocks did he use on the third row? ** On the third row, he used 7 - 2 = <<7-2=5>>5 blocks. How many blocks did he use on the fourth row? ** On the fourth row, he used 5 - 2 = <<5-2=3>>3 blocks. How many blocks did he use on the fifth row? ** On the fifth row, he used 3 - 2 = <<3-2=1>>1 block. How many blocks did he use in all? ** Therefore, he used a total of 9 + 7 + 5 + 3 + 1 = <<9+7+5+3+1=25>>25 blocks. #### 25 John decides to buy some birds. He got 50 dollars from each of his 4 grandparents. If each bird costs $20, how many wings did all the birds have? How much money did John get from his grandparents? ** He got 4*50=$<<4*50=200>>200 How many birds did John buy? ** That means he was able to buy 200/20=<<200/20=10>>10 birds How many wings did all the birds have? ** Since each bird has 2 wings he got 10*2=<<10*2=20>>20 wings #### 20 In a guessing game, Hajar's score is 24 points. The difference in the scores between Hajar and Farah's score in the game is 21. What is the sum of their scores, assuming Farah's score is higher than Hajar's? How many points does Farah have? ** If the difference in scores between Farah and Hajar in the game is 21 points, and Hajar's score is 24, then Farah has a score of 21+24 = <<21+24=45>>45 points. What is the overall score? ** The overall score in the game is 45+24 = <<45+24=69>>69 #### 69 Carter has a 14-hour road trip. He wants to stop every 2 hours to stretch his legs. He also wants to make 2 additional stops for food and 3 additional stops for gas. If each pit stop takes 20 minutes, how many hours will his road trip become? How many pit stops does Carter want to make? ** He has a 14-hour trip and wants to stop every 2 hours so that's 14/2 = <<14/2=7>>7 pit stops How many pit stops will Carter make? ** He will make 7 pit stops plus 2 more for food and 3 more for gas for a total of 7+2+3 = <<7+2+3=12>>12 pit stops How many minutes will each pit stop take? ** Each pit stop will take 20 minutes and he is making 12 stops so that's 20*12 = <<20*12=240>>240 minutes How many more hours will Carter's trip become? ** 60 minutes are in an hour and he's adding 240 minutes to his trip so that's 240/60 = <<240/60=4>>4 more hours How many hours will Carter's trip become? ** His trip started as 14 hours and he will add an additional 4 hours in pit stops for a total of a 14+4 = <<14+4=18>>18 hour long trip #### 18 Jenson and Kingsley have a tailoring business. Jenson makes 3 shirts, and Kingsley makes 5 pairs of pants per day. If each shirt uses 2 yards of fabric and a pair of pants uses 5 yards of fabric, how many yards of fabric do they need every 3 days? How many yards of fabric does Jenson use every day? ** Jenson uses 2 x 3 = <<2*3=6>>6 yards of fabric for making shirts every day. How many yards of fabric does Kingsley use every day? ** Kingsley uses 5 x 5 = <<5*5=25>>25 yards of fabric every day for making pair of pants. How many yards of fabric do they use every day? ** So, the total yards of fabric they use per day is 25 + 6 = <<25+6=31>>31 How many yards of fabric do they need every 3 days? ** Therefore, the total yards of fabric they use every 3 days is 31 x 3 = <<31*3=93>>93. #### 93 The swimming club went to a swim meet in another town. They took 2 cars and 3 vans. There were 5 people in each car and 3 people in each van. Each car can hold a maximum of 6 people and each van can hold a maximum of 8 people. How many more people could have ridden with the swim team? How many people are in each car? ** The available number of people in each car is 6 * 2 cars = <<6*2=12>>12 people. How many people are in each van? ** The available number of people in each van is 8 * 3 vans = <<8*3=24>>24 people. How many people could have gone with the team? ** The total number of people that could go with the team is 12 people + 24 people = <<12+24=36>>36 people. How many people took the team? ** The team took with them 2 cars * 5 people = <<2*5=10>>10 people. How many people took the team? ** The team also took 3 vans * 3 people = <<3*3=9>>9 people. How many people brought the team? ** The team brought 10 people + 9 people =<<10+9=19>>19 people. How many more people could have ridden with the swim team? ** The team could bring an additional 36 people - 19 people = <<36-19=17>>17 people. #### 17 A bird watcher records the number of birds he sees each day. One Monday he sees 70 birds. On Tuesday he sees half as many birds as he did on Monday. On Wednesday he sees 8 more birds than he did on Tuesday. How many total birds did the bird watcher see from Monday to Wednesday? How many birds did he see on Monday? ** Monday:70 How many birds did he see on Tuesday? ** Tuesday:70/2=<<70/2=35>>35 How many birds did he see on Wednesday? ** Wednesday:35+8=<<35+8=43>>43 How many total birds did the bird watcher see from Monday to Wednesday? ** Total:70+35+43=<<70+35+43=148>>148 birds #### 148 The price of a math textbook in the school bookshop is $45. If those sold in bookshops outside the school cost 20% less, how much can Peter save by buying from other bookshops rather than the school's if he wants to buy 3 math textbooks? How much does a math textbook cost in a bookshop outside the school? ** 20% of $45 is (20/100)*$45 = $<<(20/100)*45=9>>9 How much does a math textbook cost in other bookshks? ** The price of the textbook in other bookshops cost $9 less than $45 which is $45-$9 = $<<45-9=36>>36 How much would three textbooks from the school bookshop cost? ** Three textbooks from the school bookshop would cost $45*3 = $<<45*3=135>>135 How much would three textbooks from another bookshop cost? ** Three textbooks from another bookshop would cost $36*3 = $<<36*3=108>>108 How much can Peter save by buying from other bookshops rather than the school's if he wants to buy 3 math textbooks? ** Peter can save $135-$108 = $<<135-108=27>>27 by buying from another bookshop #### 27 John and his two brothers decide to split the cost of an apartment. It is 40% more expensive than John's old apartment which costs $1200 per month. How much does John save per year by splitting the apartment compared to living alone? How much did John's old apartment cost? ** His old apartment cost 1200*12=$<<1200*12=14400>>14,400 per year How much does John's new apartment cost? ** His new apartment 1200*1.4=$<<1200*1.4=1680>>1680 per month How much does John's new apartment cost? ** That means it cost 1680/3=$<<1680/3=560>>560 per month How much did John's new apartment cost? ** So it cost 560*12=$<<560*12=6720>>6720 How much does John save per year by splitting the apartment compared to living alone? ** So he saves 14400-6720=$<<14400-6720=7680>>7680 #### 7680 At school today, Charlize was 20 minutes late. Four of her classmates were each ten minutes late than she was. What's the total time for which the five students were late? How many minutes late were each of her friends? ** If Charlize was 20 minutes late, each of her friends was 20+10 = <<20+10=30>>30 minutes late. How many minutes were each of her friends late? ** The total time for which Charlize's friends were late was 4*30= <<4*30=120>>120 minutes. How many minutes were the three friends late? ** Together with Charlize, the three friends were 120+20 = <<120+20=140>>140 minutes late. #### 140