Theon's ship can move 15 nautical miles per hour while Yara's ship can move 30 nautical miles per hour. If their destination is 90 nautical miles away, how many hours ahead will Yara be ahead of Theon?

How many hours will it take Theon to arrive at the destination? ** Theon's estimated time of arrival is 90/15 =

<<90/15=6>>6 hours. How many hours will it take Yara to arrive at the destination? ** Yara's estimated time of arrival is 90/30 = <<90/30=3>>3 hours. How many hours ahead will Yara be ahead of Theon? ** Therefore, Yara is ahead by 6 - 3 = <<6-3=3>>3 hours. #### 3 The ages of three brothers are consecutive integers with the sum of 96. How old is the youngest brother? Define a variable ** Let x represent the youngest brother How old is the middle brother? ** Middle brother:x+1 How old is the oldest brother? ** Oldest brother:x+2 Write an equation ** Total:x+x+1+x+2=96 Combine like terms ** 3x+3=96 Subtract 3 ** 3x=93 Divide by 3 ** x=<<31=31>>31 years old #### 31 Natasha exercised for 30 minutes every day for one week. Esteban exercised for 10 minutes on each of nine days. How many hours did Natasha and Esteban exercise in total? How many minutes did Natasha exercise in total? ** Natasha = 30 * 7 = <<30*7=210>>210 minutes How many minutes did Esteban exercise in total? ** Esteban = 10 * 9 = <<10*9=90>>90 minutes How many minutes did Natasha and Esteban exercise in total? ** Total = 210 + 90 = <<210+90=300>>300 minutes How many hours did Natasha and Esteban exercise in total? ** 300 minutes = <<300/60=5>>5 hours How many hours did Natasha and Esteban exercise in total? ** Natasha and Esteban exercised for a total of 5 hours. #### 5 There are three dogs in the backyard. They like apples, blueberries, and bonnies. The first dog, which likes apples, eats 3 times as many apples as the number of blueberries eaten by the second dog that likes blueberries. The dog that likes blueberries eats 3/4 times as many blueberries as the number of bonnies eaten by the third dog. If the dog that likes bonnies ate 60 of them, calculate the total number of fruits eaten by the three dogs? How many blueberries did the second dog eat? ** The dog that likes blueberries ate 3/4*60 = <<3/4*60=45>>45 blueberries, 3/4 as many blueberries as the number of bonnies eaten by the third dog. How many fruits did the second and third dogs eat? ** The total number of fruits eaten by the dog that likes bonnies and the one that like blueberries is 45+60 = <<45+60=105>>105 How many apples did the first dog eat? ** The first dog that likes apples ate 3*45= <<3*45=135>>135 apples which are 3 times as many blueberries as the number eaten by the dog that likes blueberries. How many fruits did the three dogs eat? ** In total, the three dogs ate 105+135 = <<105+135=240>>240 fruits. #### 240 A convenience store sells 180 gallons of soda a week. They buy syrup boxes that can make 30 gallons of soda, and each box costs $40. How much do they pay for syrup a week? How many boxes do they need to buy? ** They need to buy 180/30=<<180/30=6>>6 boxes How much do they pay for syrup a week? ** So the cost is 6*40=$<<6*40=240>>240 #### 240 Mrs. Gable’s third grade class is on a field trip to the beach. For lunch, Mrs. Gable brought 20 lunches for the 20 students in her class. She included a pack of animal crackers in each lunch bag for dessert. Each pack of animal crackers contained 10 animal crackers. If 2 students did not eat their animal crackers, how many animal crackers were eaten in total among Mrs. Gable’s students? How many students ate their animal crackers? ** Since 2 students did not eat their animal crackers, 20 - 2 = <<20-2=18>>18 students ate their animal crackers. How many animal crackers were eaten in total? ** The students ate a total of 18 * 10 =<<18*10=180>>180 animal crackers #### 180 Taegan goes to a carnival where she wins tickets from each of the 5 carnival games and also finds 5 tickets on the floor. Each ticket is worth $3. In total, she has tickets that total a value of $30. If Taegan won an equal number of tickets from each of the games, how many tickets did she win from each game? How many tickets did Taegan win in total? ** If tickets are valued at $3 then in total, Taegan has won $30 in total tickets / $3 per ticket = <<30/3=10>>10 tickets. How many tickets did Taean win from the games? ** Some of these tickets were found so only 10 total tickets – 5 found tickets = <<10-5=5>>5 tickets were won from carnival games. How many tickets did Taegan win from each game? ** She therefore won 5 tickets / 5 carnival games = <<5/5=1>>1 ticket from each game. #### 1 Mark wants to tip his server 20% on a $200 check. If his friend agrees to kick in $10, how much should Mark add? How much should Mark tip? ** First find the total tip amount: 20% * $200 = $<<20*.01*200=40>>40 How much should Mark tip? ** Then subtract the friend's contribution: $40 - $10 = $<<40-10=30>>30 #### 30 A type C school bus contains 13 rows of seats, with an aisle running down the middle of the bus, splitting each row into two sections. If the school only allowed two students to sit in each section, how many students could be seated on the bus? How many sections are there? ** 13 rows, with 2 sections per row would contain 13*2=<<13*2=26>>26 sections. How many students could be seated on the bus? ** If two students sat per section, there would be capacity for 26*2=<<26*2=52>>52 students. #### 52 Marta sells tomatoes in a grocery store. On Friday, a shipment of 1000 kg of tomatoes arrived at the store. On Saturday, Marta sold a total of 300 kg of tomatoes to customers. On Sunday, the store was closed, causing 200 kg of tomatoes to rot and to be thrown away. On Monday morning another shipment arrived, twice the size of the first one. How many kilograms of tomatoes did Marta have ready for sale on Tuesday? How many kilograms of tomatoes does Marta have left? ** Marta had 1000 kg of tomatoes on Friday and sold 300 kg on Saturday, so she has 1000 – 300 = <<1000-300=700>>700 kg of tomatoes left. How many kilograms of tomatoes were left? ** On Sunday 200 kg of tomatoes had to be thrown away, so 700 – 200 = <<700-200=500>>500 kg of tomatoes were left. How many kilograms of tomatoes did Marta have ready for sale on Tuesday? ** The shipment on Monday was twice the size of the first one, so it was 2 * 1000 = <<2*1000=2000>>2000 kg of tomatoes. How many kilograms of tomatoes did Marta have ready for sale on Tuesday? ** The total amount of tomatoes ready for sale on Tuesday was 500 + 2000 = <<500+2000=2500>>2500 kg. #### 2500