Out of the 200 students in a class, thirty percent like the color blue. Among the remaining students who don't like the color blue, 40% like the color red, and the rest like the color yellow. Calculate the combined number of students who like the color yellow and the color blue.

The number of students who like the color blue is 30/100*200 =

<<30/100*200=60>>60 Out of the 200 students in the class, 200-60 = <<200-60=140>>140 don't like the color blue. Among the students who don't like the color blue, 40/100*140 = <<40/100*140=56>>56 students like the color red. If the rest of the students like neither blue nor red and only like the color yellow, their number is 140-56 = <<140-56=84>>84 The total number of students who like the color yellow and those who like the color blue is 84+60 = <<84+60=144>>144 #### 144 Carrie wants to take a trip to New York. She can get a 20% discount on an $850 flight with Delta Airlines. She can also save 30% off an $1100 flight with United Airlines. How much money would she save by choosing the cheapest flight? The discount for the Delta flight would come to $850 * 0.20 = $<<850*0.20=170>>170. The final price of the Delta flight would come to $850 - $170 = $<<850-170=680>>680. The discount of the United flight would come to $1100 * 0.30 = $<<1100*0.30=330>>330. The final price of the United flight would come to $1100 - $330 = $<<1100-330=770>>770. The Delta flight would be cheaper than the United flight by $770 - $680 = $<<770-680=90>>90. #### 90 Ella has 4 bags with 20 apples in each bag and six bags with 25 apples in each bag. If Ella sells 200 apples, how many apples does Ella has left? 4 bags have 4 x 20 = <<4*20=80>>80 apples. And, six bags have 6 x 25 = <<6*25=150>>150 apples. Thus, Ella has 80 + 150 = <<80+150=230>>230 apples in all. Therefore, Ella has 230 - 200 = <<230-200=30>>30 apple left. #### 30 Tobias is a tractor salesman. His salary is based on the number of tractors he sells. For every red tractor he sells, he gets paid 10% of the sales price for each tractor. For every green tractor he sells, he gets paid 20% of the sales price for each tractor. This week, he sold 2 red tractors and 3 green tractors. The price of a single red tractor is $20,000. This week, Tobias's salary was $7000. What is the full price of a single green tractor, in dollars? For red tractors, 10% of the sales price is 10/100*$20,000 = $<<10/100*20000=2000>>2000. By selling two red tractors, he earned 2*$2000 = $<<2*2000=4000>>4000. Thus, of the $7000 salary he was paid this week, $7000-$4000 = $<<7000-4000=3000>>3000 is from sales of green tractors. And since he sold three green tractors, the commission for the sale of a single green tractor is $3000/3=$<<3000/3=1000>>1000, If $1000 is 20% of the full price, then the full price for a green tractor is (100/20)*$1000 = $5000. #### 5,000 One dress requires 5.5 yards of fabric. Amare needs to make 4 dresses for the wedding and she has 7 feet of fabric. How many feet of fabric does Amare still need for the dresses? Dresses = 5.5 * 4 = <<5.5*4=22>>22 yards 22 yards = <<22*3=66>>66 feet 66 - 7 = <<66-7=59>>59 Amare still needs 59 feet of fabric. #### 59 Four athletes joined a relay race. Athlete 1 ran for 55 seconds, athlete 2 ran 10 seconds more than athlete 1, athlete 3 ran 15 seconds less than athlete 2, and athlete four finished it 25 seconds less than athlete 1. How long, in seconds, did it take them to finish the relay race? Athlete 2 ran the relay race for 55 + 10 = <<55+10=65>>65 seconds. Athlete 3 ran for 65 - 15 = <<65-15=50>>50 seconds. While athlete 4 finished the relay race for 55 - 25 = <<55-25=30>>30 seconds. So,It take them 55 + 65 + 50 + 30 = <<55+65+50+30=200>>200 seconds to they finish the relay race. #### 200 Paul makes pencils, making 100 pencils a day five days a week. He started the week with 80 pencils in his stock, and during the week he sold 350 pencils. How many pencils did he have in his stock at the end of the week? Making 100 pencils a day, he made 100 pencils/day * 5 days/week = <<100*5=500>>500 pencils during the week. With the pencils from the stock, he got 500 pencils + 80 pencils = <<500+80=580>>580 pencils. Subtracting the ones he sold, he has 580 pencils - 350 pencils = <<580-350=230>>230 pencils. #### 230 Every time Janet folds her blanket its thickness doubles. If it starts out 3 inches thick, how thick will it be after 4 foldings? First find how thick the blanket will be after 1 folding: 3 inches * 2 = <<3*2=6>>6 inches Then find how thick the blanket will be after 2 foldings: 6 inches * 2 = <<6*2=12>>12 inches Then find how thick the blanket will be after 3 foldings: 12 inches * 2 = <<12*2=24>>24 inches Then find how thick the blanket will be after 4 foldings: 24 inches * 2 = <<24*2=48>>48 inches #### 48 An opera house has 150 rows; each row has ten seats. The ticket costs $10 per show. How much did the opera house earn from one of the shows if 20% of the seats were not taken? The opera house has 150 x 10 = <<150*10=1500>>1500 seats. There are 1500 x 20/100 = <<1500*20/100=300>>300 seats that were not taken. The total number of seats taken was 1500 - 300 = <<1500-300=1200>>1200. Therefore, the opera house earned $10 x 1200 = $<<10*1200=12000>>12000 from one of the shows. #### 12000 Scott has 7 pairs of shoes. Anthony has 3 times as many pairs of shoes as Scott, and Jim has 2 less pairs than Anthony. How many more pairs of shoes does Anthony have compared to Jim? Anthony:7(3)=21 Jim:21-2=<<21-2=19>>19 Anthony has 21-19=<<21-19=2>>2 more pairs of shoes. #### 2