Fred was having a party and was responsible for buying canned soda. He figured every guest would drink 2 sodas and he was inviting 15 people to the party. The local store had a deal on sodas that week. Every 6 pack of canned sodas was on sale for $3.00. How much would it cost Fred to buy enough sodas for every guest to have 2 cans?

He planned on 2 sodas per guest and invited 15 guests so 2*15 =

<<2*15=30>>30 cans of soda Each pack of soda had 6 cans. He needed to buy 30 cans of soda for his guest so 30/6 = <<30/6=5>>5 packs of soda The soda was on sale for $3.00 per 6 pack and he was buying 5 packs so 3*5 = $<<3*5=15.00>>15.00 for soda #### 15 A small airplane can seat 10 people in first class, 30 in business class, and 50 in economy class seating. If economy class is half full, and business class and first class have the same number of people together as economy class, how many seats are unoccupied in business class if only three people on the flight have first class seats? There are 50 / 2 = <<50/2=25>>25 people in economy class. There are 25 people in business first and business class, so there are 25 - 3 = <<25-3=22>>22 in business class. Thus, there are 30 - 22 = <<30-22=8>>8 unoccupied seats in business class. #### 8 If you double a number and add 5 to the result, then that's 20 more than half of the original number. What's the original number? Let x be the original number. 2*x+5=20+x/2 2*x-x/2=15 4*x-x=30 3*x=30 x=<<10=10>>10 #### 4 A coal-powered train is traveling towards a faraway city when the conductor realizes that he forgot to restock the train's coal supply at the last station. The train is traveling on a one-way track, so the conductor has no other option but to continue moving forward towards the city. The train can travel 5 miles for every 2 pounds of coal that it consumes. If the train has 160 pounds of coal remaining, how far can the train travel before it runs out of fuel? The train travels 5 miles per every 2 pounds, or 5/2 = <<5/2=2.5>>2.5 miles per pound of coal. Therefore, the 160 pounds of coal that remain are enough for the train to travel 160*2.5 = <<160*2.5=400>>400 miles. #### 400 A vendor at the market is selling sunglasses for $30 each. He has to spend a certain amount to buy these sunglasses. He sells 10 pairs in a day. He then takes half his profits and uses it to buy a new sign, which costs $20. How much does each pair of sunglasses cost him to buy? His profits were $40 because 20 / .5 = <<20/.5=40>>40 He made $300 selling sunglasses because 10 x 30 = <<10*30=300>>300 His costs for the sunglasses were $260 because 300 - 40 = <<300-40=260>>260 The sunglasses cost him $26 each because 260 / 10 = <<260/10=26>>26 #### 26 Avery has 20 chickens on his farm. Each chicken lays 6 eggs. He wants to fill up egg cartons with eggs. If each egg carton can hold a dozen (12 eggs), how many egg cartons can Avery fill? Avery has a total of 20 * 6 = <<20*6=120>>120 eggs Avery can fill up 120 / 12 = <<120/12=10>>10 egg cartons #### 10 During a commercial break in the Super Bowl, there were three 5-minute commercials and eleven 2-minute commercials. How many minutes was the commercial break? The 5-minute commercials were 3 * 5 = <<3*5=15>>15 minutes in total. The 2-minute commercials were 2 * 11 - 22 minutes in total. The commercial break was 15 + 22 = <<15+22=37>>37 minutes long. #### 37 There are several cookies in the jar. Taking 1 cookie away would leave half as many in the jar as if 5 were added. How many cookies are in the jar? Let C be the number of cookies There would be C-1 cookies. There would be (C+5)/2 cookies. C-1=(C+5)/2. 2(C-1)=C+5 2C-2=C+5 C=<<7=7>>7 #### 7 Shem makes 2.5 times more money per hour than Kem. If Kem earns $4 per hour, how much does Shem earn for an 8-hour workday? Shem earns $4 x 2.5 = $<<4*2.5=10>>10 in an hour. So, Shem earns $10 x 8 = $<<10*8=80>>80 for an 8-hour workday. #### 80 There are 11 boys and 13 girls in a class. If 1 boy is added to the class, what percentage of the class are girls? There are a total of 11 + 1 = <<11+1=12>>12 boys in the class. Hence, there are a total of 12 boys + 13 girls = <<12+13=25>>25 students in a class. So 13/25 x 100% = 52% of the class are girls. #### 52