John is holding a poker night with his friends and is getting the decks of cards ready before his friends show up. After losing so many cards from various decks, John thinks he needs to count exactly how many cards he has to make sure he has enough full decks for the night. Each deck of cards should hold 52 cards. He finds 3 half-full decks of cards and 3 full decks of cards. As he is arranging them, he realizes that the quality of a lot of the cards is quite poor and decides to throw 34 of the cards in the trash. How many cards does John now have?

How many cards are in the full decks? ** In the full decks, John has a total of 52 cards in a full deck of cards * 3 full decks of cards =

<<52*3=156>>156 cards. How many cards are in a half-full deck? ** A half-full deck of cards contains 52 cards in a full deck of cards / 2 = <<52/2=26>>26 cards. How many cards are in the half-full decks? ** So from the half-full decks, John has a total of 26 cards * 3 half-full decks = <<26*3=78>>78 cards. How many cards does John now have? ** This is a total of 156 cards from full decks + 78 cards from half-full decks = <<156+78=234>>234 cards. How many cards does John now have? ** After throwing some in the trash, he now holds a total of 234 cards - 34 trashed cards = <<234-34=200>>200 cards. #### 200 Federal guidelines recommend eating at least 2 cups of vegetables per day. From breakfast on Sunday to the end of the day on Thursday, Sarah has eaten 8 cups. How many cups per day does Sarah need to eat of her vegetables in order to meet her daily minimum requirement for the week? How many cups of vegetables are recommended per week? ** There are 7 days in a week and 2 cups are recommended per day, bringing the total to 7 days * 2 cups/day =<<7*2=14>>14 cups for the week. How many cups of vegetables does Sarah need to eat for the week? ** Out of the 14 total cups needed for the week, Sarah has already eaten 8, for a total of 14 cups - 8 cups = <<14-8=6>>6 cups left to consume for the week. How many days are left in the week? ** Sunday through Thursday equals 5 days that have passed. If there are 7 days in the week then Sarah has 7 days - 5 days = <<7-5=2>>2 days left of the week. How many cups per day does Sarah need to eat in the next two days? ** If she needs to eat 6 more cups in the next 2 days then she will have to eat 6 cups / 2 days = <<6/2=3>>3 cups per day over the next two days. #### 3 John pays for a candy bar with 4 quarters, 3 dimes, and a nickel. He got 4 cents back in change. How many cents did the candy bar cost? How many cents did the quarters cost? ** The quarters came to 4*25=<<4*25=100>>100 cents How many cents did the dimes cost? ** The dimes were worth 3*10=<<3*10=30>>30 cents How many cents did the nickel cost? ** The nickel was 5*1=<<5*1=5>>5 cents How many cents did the candy bar cost? ** So he paid 100+30+5=<<100+30+5=135>>135 cents How many cents did the candy bar cost? ** Since he got 4 cents as change it cost 135-4=<<135-4=131>>131 cents #### 131 Mike can type 65 words per minute. Due to a minor accident, Mike cannot use his right hand for a while so that his typing speed is now 20 words less per minute. If he is supposed to type a document with 810 words, how many minutes will it take him to finish typing the document? How many words can Mike type after the accident? ** After the accident, Mike can only type 65 words/minute - 20 words/minute = <<65-20=45>>45 words/minute. How many minutes will it take him to finish typing the document? ** So, he will be able to finish typing the document in 810 words / 45 words/minute = <<810/45=18>>18 minutes. #### 18 A cheetah can run at a top speed of 60 mph. The gazelle can run for speeds of up to 40 miles per hour. If one mile per hour is about 1.5 feet per second, then how many seconds would it take for a cheetah traveling at top speed to catch up to a fleeing gazelle also running at top speed if the two animals were initially 210 feet apart and they both traveled in the same direction? How fast does a cheetah run? ** 60 mph is 60*1.5=<<60*1.5=90>>90 feet per second. How fast does a gazelle run? ** 40 mph is 40*1.5=<<40*1.5=60>>60 feet per second. How fast does a cheetah run? ** Thus, for every second, the cheetah advances on the gazelle by 90-60=<<90-60=30>>30 feet per second. How many seconds would it take for a cheetah traveling at top speed to catch up to a fleeing gazel? ** To close on a distance of 200 feet, it would take the cheetah 210/30=7 seconds to catch the gazelle. #### 7 A publishing house decides to create a contest for new writers and will award a total of $800 in prizes to the 18 novels with the most votes. First place will get $200, second place will get $150, third place $120 and the rest of the awards will be paid with the same amount of money. How much money will each writer earn from fourth place onwards? How much money will the first three winners get? ** The first three cash prizes sum to $200 + $150 + $120= $<<200+150+120=470>>470 How much money will the remaining winners get? ** The remaining amount of cash prizes to be distributed is $800 - $470= $<<800-470=330>>330 How many novels are left to be awarded? ** The number of novels left to be awarded is 18 – 3= <<18-3=15>>15 novels How much money will each writer earn from fourth place onwards? ** So each writer from 4th to 18th will earn $330 / 15= $<<330/15=22>>22 #### 22 Alyssa and Abigail need to collect 100 empty cans for their Science project. As of today, Alyssa collected 30 while Abigail collected 43 empty cans. How many more empty cans should they collect? How many empty cans did Alyssa and Abigail collect as of today? ** Alyssa and Abigail collected a total of 30 + 43 = <<30+43=73>>73 empty cans as of today. How many more empty cans do Alyssa and Abigail need to collect? ** So, they still need to collect 100 - 73 = <<100-73=27>>27 more empty cans. #### 27 Santana has 7 brothers. 3 of them have birthdays in March, 1 of them has a birthday in October, 1 has a birthday in November, and another 2 of them were born in December. If Santana always buys each of her brothers a birthday present and a Christmas present, how many more presents does she have to buy in the second half of the year than the first half of the year? How many brothers have birthdays in the second half of the year? ** Santana has 1 + 1 + 2 = <<1+1+2=4>>4 brothers with birthdays in the second half of the year. How many brothers have birthdays in the first half of the year? ** She has 7 brothers - 4 brothers = <<7-4=3>>3 brothers with birthdays in the first half of the year. How many presents does Santana have to buy in the second half of the year? ** Altogether, she has to buy 4 + 7 = <<4+7=11>>11 presents in the second half of the year. How many more presents does Santana have to buy in the second half of the year than the first half of the year? ** Therefore, she has to buy 11 - 3 = <<11-3=8>>8 more presents in the second half of the year. #### 8 Ivan has 20 dice. Jerry has twice as many dice as Ivan. How many dice do they have altogether? How many dice does Jerry have? ** Jerry has 2 x 20 = <<2*20=40>>40 dice. How many dice do they have altogether? ** Therefore, they have 20 + 40 = <<20+40=60>>60 dice altogether. #### 60 In a big box, there are marbles in 4 colors. Inside, there are 20 red marbles. There are three times more green marbles than red. Yellow marbles make up 20% of the green marbles. How many marbles are of a different color if the total of all marbles in the box is three times more than the number of green marbles? How many green marbles are there? ** There are 3 * 20 = <<3*20=60>>60 green marbles. How many yellow marbles are there? ** There are 60 * 20/100 = <<60*20/100=12>>12 yellow marbles How many marbles are there in total? ** In total there are 3 * 60 = <<3*60=180>>180 marbles. How many marbles are of a different color if the total of all marbles in the box is three times more than the number of green marbles? ** That leaves 180 - 20 - 60 - 12 = <<180-20-60-12=88>>88 marbles of another color in the box. #### 88