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question：Jamie is a big Dockers fan and has been invited by their fellow Dockers fan, Alex, to watch a series of games on Alex's big screen TV. Alex has prepared a special game day menu for Jamie, which includes 3 types of snacks: meat pies, sausage rolls, and chips. For the first game, Alex plans to serve 5 meat pies, 8 sausage rolls, and 12 bags of chips. Each meat pie costs 4, each sausage roll costs 2, and each bag of chips costs 1. 1. Calculate the total cost of all the snacks Alex plans to serve for the first game.2. If Jamie decides to bring an additional 3 meat pies, 4 sausage rolls, and 6 bags of chips to share, calculate the new total cost of all the snacks.3. Finally, if Jamie and Alex decide to split the total cost of the snacks equally, how much should each person contribute? Find the answers to the above questions to help Alex and Jamie enjoy their game day without worrying about the cost of snacks!
answer：First, I'll calculate the cost of each type of snack for the first game. Meat pies cost 4 each, sausage rolls are 2 each, and chips are 1 per bag. For the initial order, there are 5 meat pies, 8 sausage rolls, and 12 bags of chips. I'll multiply the quantity of each snack by its respective cost to find the total cost for each type.Next, Jamie brings additional snacks: 3 meat pies, 4 sausage rolls, and 6 bags of chips. I'll calculate the cost of these additional items in the same way and add them to the initial total to find the new total cost.Finally, to determine how much each person should contribute, I'll divide the new total cost by 2, since Jamie and Alex are splitting the cost equally.
question：Liam is a professional soccer player who recently discovered that his agent, Mr. Sly, has been cunningly taking a larger percentage of his earnings than agreed upon. Initially, Liam's contract stated that the agent would receive 10% of Liam's earnings. However, Mr. Sly has been taking 15% instead. Last year, Liam earned a total of 2,000,000 from his soccer career. Calculate how much money Mr. Sly should have received according to the contract, and how much extra money he took by using his cunning tactics. Finally, determine the total amount Liam is seeking to recover from Mr. Sly as part of his quest for justice.
answer：First, I need to calculate the amount Mr. Sly should have received according to the original 10% contract. This is done by multiplying Liam's total earnings by 10%.Next, I'll determine how much Mr. Sly actually took by taking 15% of Liam's earnings. This involves multiplying the total earnings by 15%.Then, to find out how much extra Mr. Sly took, I'll subtract the amount he should have received from the amount he actually took.Finally, the total amount Liam is seeking to recover is the extra amount Mr. Sly took.
question：A musician is planning a week of practice sessions to ensure their hearing is protected while maintaining optimal performance. Each day, the musician practices for 2 hours, but they must take a 15-minute break every 45 minutes to rest their ears. How many minutes in total does the musician spend resting during their practice sessions over the week?
answer：First, determine the total practice time per day, which is 2 hours or 120 minutes.Next, calculate how many 45-minute practice intervals fit into 120 minutes. Dividing 120 by 45 gives approximately 2.666, which means there are 2 full intervals.Since the musician takes a 15-minute break after every 45 minutes of practice, there will be 2 breaks each day.Multiplying the number of breaks per day by the duration of each break gives 2 breaks × 15 minutes = 30 minutes of rest per day.Finally, to find the total rest time over the week, multiply the daily rest time by 7 days: 30 minutes/day × 7 days = 210 minutes.
question：A civil rights lawyer is examining the impact of a politician's new "tough on crime" policy. She discovers that over the past year, the number of people incarcerated increased by 20% due to the new measures. Before the policy was implemented, there were 1,200 people incarcerated. She also noticed that legal aid funding, which helps provide defense for those who cannot afford it, was reduced by 15% from the previous year's budget of 80,000. Calculate the new number of people incarcerated and the new legal aid budget after these changes.
answer：First, I need to determine the new number of people incarcerated after a 20% increase. The initial number of incarcerated individuals is 1,200. To find the increase, I'll calculate 20% of 1,200, which is 240. Adding this to the original number gives a new total of 1,440 people incarcerated.Next, I'll calculate the new legal aid budget after a 15% reduction. The original budget is 80,000. To find the reduction amount, I'll calculate 15% of 80,000, which is 12,000. Subtracting this from the original budget results in a new legal aid budget of 68,000.
question：Professor Hernandez, a college history professor who specializes in Caribbean architecture, is planning a field trip for her students to explore various historical buildings in the Caribbean. She has chosen to visit 3 islands, each with a unique architectural style. On the first island, there are 4 colonial-style buildings, and the tour of each building takes 45 minutes. On the second island, there are 3 modernist buildings, each requiring 30 minutes for the tour. The third island has 5 traditional Caribbean wooden houses, each with a tour duration of 20 minutes. If Professor Hernandez plans to visit all the buildings on each island in one day, what is the total time, in hours, that she and her students will spend touring the buildings across all three islands?
answer：First, I'll calculate the total tour time for each island separately.For the first island with 4 colonial-style buildings, each taking 45 minutes, the total time is 4 multiplied by 45 minutes, which equals 180 minutes.On the second island, there are 3 modernist buildings, each requiring 30 minutes. Multiplying 3 by 30 minutes gives a total of 90 minutes.The third island has 5 traditional Caribbean wooden houses, each with a 20-minute tour. Multiplying 5 by 20 minutes results in 100 minutes.Next, I'll add up the total minutes from all three islands: 180 minutes plus 90 minutes plus 100 minutes equals 370 minutes.Finally, to convert the total minutes into hours, I'll divide 370 minutes by 60, which is approximately 6.17 hours.
question：As an enthusiastic supporter of OFI Crete F.C., you love to track the team's performance. In the recent season, OFI Crete F.C. played a total of 30 games. They won twice as many games as they lost, and they drew 6 games. How many games did OFI Crete F.C. win this season?
answer：First, I need to determine the total number of games played by OFI Crete F.C., which is 30.Out of these 30 games, 6 were draws. This means the remaining games are either wins or losses.So, the number of games that are wins or losses is 30 minus 6, which equals 24 games.Let’s denote the number of losses as L. According to the problem, the team won twice as many games as they lost, so the number of wins is 2L.The total number of wins and losses is 24, so we can set up the equation: L + 2L = 24.Combining like terms, we get 3L = 24.Solving for L, we divide both sides by 3, resulting in L = 8.Therefore, the number of wins is 2 times 8, which equals 16.So, OFI Crete F.C. won 16 games this season.