There are 10 rows of 15 chairs set up for the award ceremony. The first row is reserved for the awardees while the second and third rows are for the administrators and teachers. The last two rows are then reserved for the parents and the rest of the rows are for the students. If only 4/5 of the seats reserved for the students are occupied, how many vacant seats from the students can be given to the parents?

There are 1 + 2 + 2 =

<<1+2+2=5>>5 rows that are not reserved for the students. Hence, 10 - 5 = <<10-5=5>>5 rows are reserved for the students. That is equal to 5 x 15 = <<5*15=75>>75 seats. But only 75 x 4/5 = <<75*4/5=60>>60 seats are occupied by the students. Therefore, 75 - 60 = <<75-60=15>>15 seats can be given to the parents. #### 15 John eats 3 meals a day. Breakfast is 500 calories. His lunch contains 25% more calories than that. His dinner is twice as many calories as lunch. He also has 3 shakes that are each 300 calories. How many calories does he get in a day? Lunch is 500 * .25 = <<500*.25=125>>125 more calories than breakfast That means it is 500 + 125 = <<500+125=625>>625 calories So dinner is 625 * 2 = <<625*2=1250>>1250 calories The shakes are 3 * 300 = <<3*300=900>>900 calories So in total he eats 500 + 625 + 1250 + 900 = <<500+625+1250+900=3275>>3275 calories #### 3275 Three-quarters of the oil from a 4000-liter tank (that was initially full) was poured into a 20000-liter capacity tanker that already had 3000 liters of oil. How many more liters of oil would be needed to make the large tanker half-full? Three-quarters of oil from the initially full 4000-liter tank would be 4000*(3/4)= <<4000*3/4=3000>>3000 liters In addition to the 3000 liters that were already in the large tanker, there are 3000+3000 = <<3000+3000=6000>>6000 liters in it now. The tanker would be filled to half capacity by (1/2)*20000 = <<(1/2)*20000=10000>>10000 liters of oil There are 10000-6000 = <<10000-6000=4000>>4000 liters left to reach half capacity. #### 4000 Amy is collecting candy for the car pool. She has 5 chocolate bars, 7 times as many M&Ms as chocolate bars, and 6 times as many marshmallows as M&Ms. Amy then arranges the candies into baskets. If she fills each basket with 10 candies, how many baskets will Amy fill? Amy has 5*7=<<5*7=35>>35 M&Ms. Amy has 35*6=<<35*6=210>>210 marshmallows. Amy has 5+35+210=<<5+35+210=250>>250 candies. She fills 250/10=<<250/10=25>>25 baskets. #### 25 Since Jason started investing, he has earned the same amount he invested twice over in 5 months. If Jason's investment currently is worth $90, how much has he been earning per month from his investment assuming he has been earning an equal amount of returns each month? Let's say Jason invested x amount of money. Since Jason started investing, he has earned the same amount he invested twice over in 5 months, meaning he has earned x+2*x=$90 This evaluates to 3x=$90 The total amount of money that Jason invested is x=$90/3 Jason invested x=$30 The total amount of money that Jason has earned from his investments is $90-$30=$<<90-30=60>>60 If he earned an equal amount of money from the investment in five months, his monthly returns is 60/5=$<<60/5=12>>12 #### 12 It will cost $60 to rent a sailboat and $80 per hour to rent a ski boat. Ken rented a sailboat while Aldrich rented a ski boat. How much more did it cost Aldrich to rent the ski boat than Ken to rent a sailboat for three hours a day in two days? Ken paid $60 x 3 = $<<60*3=180>>180 to rent a sailboat for 3 hours in a day Aldrich paid $80 x 3 = $<<80*3=240>>240 to rent a ski boat in 3 hours in a day. So Aldrich paid $240 - $180 = $<<240-180=60>>60 more to rent a ski boat than Ken to rent the sailboat each day. Therefore, it cost Aldrich $60 x 2 = $<<60*2=120>>120 more to rent a ski boat than Ken to rent the sailboat in two days. #### 120 George and Harry want to fill a pool with buckets. George can carry two buckets each round, and Harry can carry three buckets each round. If it takes 110 buckets to fill the pool, how many rounds will it take to fill the pool? Each round 2+3=5 buckets will be filled. It will take 110/5=<<110/5=22>>22 rounds. #### 22 Peter needs to buy birdseed to last a week. He knows that each parakeet eats 2 grams a day. His parrots eat 14 grams a day. His finches eat half of what a parakeet eats. If he has 3 parakeets, 2 parrots and 4 finches, how many grams of birdseed does he need to buy? His parakeets eat 6 grams a day, because three parakeets times two grams each equals 6 grams. His parrots will eat 28 grams a day because two parrots times 14 grams equals <<2*14=28>>28 grams. Each finch will eat 1 gram a day, because they eat half of what a parakeet does and 1/2 of 2 equals one. His finches will eat 4 grams a day because four finches times 1 gram equals 4 grams. His birds eat 38 grams a day because 6 plus 28 plus 4 equals <<6+28+4=38>>38 Each week has 7 days Therefore, in a week he will need 266 grams because 7 times 38 equals <<7*38=266>>266. #### 266 Mr. Zubir bought a pair of pants, a shirt, and a coat. The pair of pants and shirt costs $100. The pants and coat cost $244. The coat costs 5 times as much as the shirt. How much did Mr. Zubir pay for his coat? Let X be the coat's price. The shirt's price is X/5. The pants and the shirt cost $100, so the pants price is $100 - X/5. The pants and coat costs ($100 - X/5) + X = $244. Combining like terms and subtracting $100 from both sides, we get 4/5*X = $144. Dividing both sides by 4/5, we get X = $180. #### 180 Isaac cut his 30 meters ribbon into 6 equal parts. He then used 4 parts of the ribbon. How many meters of ribbon are not used? Each part is 30/6 = <<30/6=5>>5 meters long. Since Liam used 4 parts, then he used 5 x 4 = <<4*5=20>>20 meters of the ribbon. So, 30 - 20 = <<30-20=10>>10 meters of ribbon is not used. #### 10