Lydia is planning a road trip with her family and is trying to plan a route. She has 60 liters of fuel and she will use all of this during her trip. She isn't sure how much fuel she is going to use in the first third of the trip but she knows she will need a third of all of her fuel for the second third of the trip, and half this amount for the final third of the trip. How much fuel, in liters, can Lydia use in the first third of the trip?

In the second third of the trip, Lydia is going to use 60 liters of fuel / 3 =

<<60/3=20>>20 liters of fuel. In the final third of the trip, she needs half of this amount so she is going to be using 20 liters / 2 = <<20/2=10>>10 liters of fuel. So in the first third, Lydia used the remaining amount of fuel which is 60 total liters of fuel – 20 liters of fuel in the second third – 10 liters of fuel in the final third = <<60-20-10=30>>30 liters of fuel. #### 30 Ted needs to purchase 5 bananas and 10 oranges. If bananas cost $2 each and oranges cost $1.50 each. How much money does Ted need to purchase 5 bananas and 10 oranges? Ted needs 5 bananas and they each cost $2. To purchase the bananas, Ted needs 5*2= <<5*2=10>>10 dollars Because Ted needs 10 oranges and they each cost $1.50, Ted needs 10*1.5= <<10*1.5=15>>15 dollars to pay for the oranges. All together Ted needs $10 for the bananas and $15 for the oranges, so combined Ted needs 10+15= <<10+15=25>>25 dollars to purchase all the produce. #### 25 Jimmy has 18 cards. Jimmy gives three cards to Bob. If Jimmy gives Mary twice as many cards as he gave to Bob, how many cards does Jimmy have left? Mary has 2 * 3 = <<2*3=6>>6 cards. Jimmy has 18 - 3 - 6 = <<18-3-6=9>>9 cards left. #### 9 Aniyah has 6 times as many birthday candles as Ambika. If Ambika has four birthday candles, how many birthday candles will they have if they put the birthday candles together and shared them equally between themselves? If Ambika has four birthday candles, and Aniyah has 6 times as many birthday candles as Ambika, then Aniyah has 4*6 = <<4*6=24>>24 candles. When they put together the candles, the total number becomes 24+4 = <<24+4=28>>28 candles. When they divide the candles and share them equally, each person gets 28/2 = <<28/2=14>>14 birthday candles. #### 14 Gigi is baking cookies. The recipe for 1 batch of cookies calls for 2 cups of flour. She bakes 3 batches of cookies. If her bag of flour contains 20 cups of flour, how many more batches of cookies could Gigi make in the future with the remaining amount of flour? For 3 batches of cookies, Gigi uses 3 * 2 = <<3*2=6>>6 cups of flour The amount of flour remaining in the bag is 20 - 6 = <<20-6=14>>14 cups of flour Since 1 batch uses 2 cups of flour, Gigi can make 14 / 2 = <<14/2=7>>7 more batches of cookies #### 7 If Layla scored 104 goals in four hockey games and Kristin scored 24 fewer goals in the same four games, calculate the average number of goals the two scored. If Layla scored 104 goals in four hockey games and Kristin scored 24 fewer goals in the same four games, Kristin scored 104-24 = <<104-24=80>>80 goals. The combined number of goals they scored is 80+104 = <<80+104=184>>184 The average number of goals they scored is 184/2 = <<184/2=92>>92 #### 92 There are 34 kids signed up to compete in the talent show. There are 22 more girls than boys signed up to compete. How many girls are signed up to compete in the talent show? There are 34 kids signed up – 22 we know are girls = 12 are girls and boys. We can divide the 12 girls and boys / 2 = <<12/2=6>>6 boys are competing and 6 girls are competing. That means there are 6 + 22 = <<6+22=28>>28 girls competing. #### 28 Lorraine made a pan of brownies and cut them into 16 pieces. Her children ate 25% of the brownies when they got home from school. After dinner, the entire family ate 50% of the remaining brownies. After everyone went to bed, Lorraine ate 1 more brownie. How many brownies are left over? Her children ate 25% of the 16 brownies so they ate .25*16 = <<25*.01*16=4>>4 slices There were 16 brownies and the children ate 4 slices, leaving 16-4 = <<16-4=12>>12 brownies The family ate 50% of the remaining 12 brownies so they ate .50*12 = <<50*.01*12=6>>6 brownies There were 12 brownies and they ate 6 which leaves 12-6 = <<12-6=6>>6 brownies Lorraine had 1 more of the 6 remaining brownies which leaves 6-1 = <<6-1=5>>5 brownies #### 5 Ibrahim wants to buy an MP3 player for 120 euros and a CD for 19 euros. He has 55 euros in savings. His father participates in his purchase by giving him 20 euros. How much money does Ibrahim lack? The total price of the purchases is 120 + 19 = <<120+19=139>>139 euros. The amount of money he has after his father's help is 55 + 20 = <<55+20=75>>75 euros. The purchase amount is 139 euros, so he is missing 139 – 75 = <<139-75=64>>64 euros. #### 64 Diane shows Sarah a game that deciphers at what age she will marry based on her name and current age. Sarah is 9 years old. The game consists of adding the number of letters in the player's name plus twice the player's age. According to the game, at what age will Sarah get married? Sarah's name has 5 letters, so the first number to add is 5. The second number is twice Sarah's age, so it is 2 * 9 = <<2*9=18>>18. Adding the numbers together, the game predicts that Sarah will get married at 5 + 18 = <<5+18=23>>23 years old. #### 23