answer:To solve this problem, we need to determine the value of x, which represents the cost of each game in euros. Let's break down the information given: Money received from grandmother: €20 Money received from aunt: €25 Money received from uncle: €30 Total money received: €20 + €25 + €30 = €75 Total money in wallet after receiving gifts: €125 Amount spent on video games: 3 games * x euros per game = 3x euros Amount left in wallet after purchasing video games: €20 We can set up the equation as follows: Total money in wallet - Amount spent on video games = Amount left in wallet €125 - 3x = €20 Let's simplify and solve for x: -3x = €20 - €125 -3x = -€105 To isolate x, we divide both sides of the equation by -3: x = (-€105) / -3 x = €35 The value of x is €35. 35 The answer is: 35, Geoffrey had €125 - €20 (grandmother's gift) - €25 (aunt's gift) - €30 (uncle's gift) = €50 before buying the video games. Then he bought 3 games that cost x euros each, and he had 20 euros left. That means the total cost of the games was €50 - €20 = €30. Since there were 3 games and the total cost was €30, each game cost €30 / 3 = **€10**. Thus, the value of the unknown variable x is 10.,To solve this problem, we'll follow these steps: 1. Calculate the total amount of money Geoffrey received: €20 (from grandmother) + €25 (from aunt) + €30 (from uncle) = €75 2. Subtract the money he received from the total amount in his wallet: €125 (Geoffrey's wallet) - €75 (money received) = €50 (money he already had). 3. Subtract the amount remaining after buying the games from his total money: €125 (wallet) - €20 (remaining after games) = €105 (used for games) 4. Let's define our unknown variable "x" as the cost of each game. So, 3 games at x euros each would cost 3x euros in total. 5. The value of the unknown variable x is the cost of each game: 3x = €105 6. Divide both sides by 3 to find the cost of one game: x = €105 / 3 = €35 So, the value of the unknown variable x is €35. Each game costs €35.

answer:First, let's determine how many questions Sasha can complete in 2 hours. We know that she can finish 15 questions in an hour, so: Questions completed in 2 hours = Questions completed per hour * Time = 15 questions * 2 hours = 30 questions Now, we need to find out how many questions Sasha still needs to complete. To do this, subtract the number of questions she has already finished from the total number of questions: Questions remaining = Total questions - Questions completed = 60 questions - 30 questions = 30 questions So, Sasha still needs to complete 30 questions after working for 2 hours.,If Sasha can complete 15 questions per hour, after 2 hours she would have completed 15 x 2 = 30 questions. Since she has 60 questions in total, she still needs to complete 60 - 30 = 30 questions. 30 The answer is: 30,Sasha can complete 15 questions per hour. If she works for 2 hours, she has completed 15 questions/hour * 2 hours = 30 questions. Since she had 60 questions to complete in total, she still needs to complete 60 questions - 30 completed questions = 30 questions.

answer:To solve this problem, we need to first find out how many liters of oil are poured into the tanker from the initial 4000-liter tank. Since three-quarters of the oil are poured in, we'll multiply 4000 by (3/4 or 75%): 4000 * (3/4) = 3000 liters of oil Now, the large tanker already has 3000 liters of oil, and an additional 3000 liters are poured in from the smaller tank. So, the large tanker has: 3000 + 3000 = 6000 liters of oil To find out how many liters would be needed to make the large tanker half-full, we'll calculate half of its capacity: 20000 liters (total capacity) / 2 = 10000 liters Since there are 6000 liters in the large tanker and we need 10000 liters to make it half-full, we'll subtract the current amount of oil: 10000 - 6000 = 4000 liters So, 4000 more liters of oil would be needed to make the large tanker half-full., First, let's find out how much oil is in the tanker after pouring three-quarters of the 4000-liter tank into it. Oil added from the smaller tank = 3/4 * 4000 L = 3000 L The tanker initially had 3000 liters, so after adding the oil from the smaller tank, it now contains: Current oil volume = Initial oil + Oil added = 3000 L + 3000 L = 6000 L To find out how many more liters are needed to make the tanker half-full, we first need to determine what half of its capacity is: Half-full volume = Capacity / 2 = 20000 L / 2 = 10000 L Now, we can subtract the current oil volume from the half-full volume to find out how many more liters are needed: Additional liters needed = Half-full volume - Current oil volume = 10000 L - 6000 L = 4000 L So, 4000 more liters of oil would be needed to make the large tanker half-full.,Three-quarters of the oil from the 4000-liter tank is 3/4 * 4000 = 3000 liters. When this amount is poured into the 20000-liter capacity tanker, the total amount of oil in the tanker becomes 3000 + 3000 = 6000 liters. The capacity of the large tanker is 20000 liters, so to make it half-full, it would need 20000 / 2 = 10000 liters. Therefore, 10000 - 6000 = 4000 more liters of oil would be needed to make the large tanker half-full. 4000 The answer is: 4000

answer:The new pad of paper has 120 pages. Sammy uses 25% of the pages for his science project, which is 0.25 * 120 = 30 pages. He uses another x pages for his math homework. The total number of pages he uses is 30 pages for science and x pages for math. The number of pages remaining in the pad is the total number of pages minus the number of pages used: 120 - (30 + x). Given that the number of pages remaining is 80, we can set up the equation: 120 - (30 + x) = 80. Simplifying this equation, we have: 120 - 30 - x = 80. Combining like terms, we get: 90 - x = 80. Subtracting 90 from both sides of the equation, we get: -x = -10. Multiplying both sides by -1, we find the value of x: x = 10. Therefore, the value of x is 10., First, let's find out how many pages Sammy used for his science project. Since he used 25% of the pages, we calculate: Pages used for science = Total pages * Percentage used = 120 pages * 0.25 = 30 pages Now, to find out how many pages are left, we subtract the number of pages Sammy used for both his science project and math homework from the total number of pages: Pages remaining = Total pages - Pages used for science - Pages used for math = 120 pages - 30 pages - x pages According to the problem, there are 80 pages remaining: 80 pages = 120 pages - 30 pages - x pages Now, we solve for x: x pages = 120 pages - 30 pages - 80 pages x pages = 10 pages So, Sammy used 10 pages for his math homework.,The new pad of paper has 120 pages. Sammy uses 25% of the pages for his science project, which means he uses (25/100)*120 = 30 pages for his science project. He also uses x pages for his math homework. The total number of pages used by Sammy is 30 + x. The number of pages remaining in the pad is the total number of pages minus the number of pages used: 120 - (30 + x). We are given that the number of pages remaining is 80, so we can write: 120 - (30 + x) = 80. Simplifying the left side, we get: 120 - 30 - x = 80. Combining like terms, we get: 90 - x = 80. Solving for x, we get: x = 10. The value of x is 10. 10 The answer is: 10