answer:First, let's calculate how much data Elsa has remaining after watching Youtube: 500 (total allowed data) - 300 (data used to watch Youtube) = 200 MB remaining data Now, let's calculate the data used on Facebook: 2/5 (proportion of data used on Facebook) * 200 (remaining data) = 80 MB data used on Facebook Finally, let's calculate the remaining data after using it on Facebook: 200 (remaining data after Youtube) - 80 (data used on Facebook) = 120 MB of data left So, Elsa has 120 MB of data left.,Elsa has a monthly allowance of 500 MB of cell phone data. She uses 300 MB to watch Youtube. So, she has 500 - 300 = 200 MB of data remaining. She uses 2/5 of the remaining data on Facebook. 2/5 of 200 MB is (2/5) * 200 = 80 MB. Therefore, Elsa has 200 - 80 = 120 MB of data left. 120 The answer is: 120, Elsa has used 300 MB of her 500 MB data allowance on YouTube, leaving her with 500 MB - 300 MB = 200 MB. She then uses 2/5 of the remaining data on Facebook. To find out how many MB that is, we need to calculate: (2/5) * 200 MB = 40 MB So, Elsa has used 40 MB of the remaining data on Facebook. Therefore, Elsa has: 200 MB (remaining data) - 40 MB (data used on Facebook) = 160 MB left for the rest of the month.

answer:Let's break down the problem: 1. Martin invited 5 people from his hometown. 2. He invited twice as many people from his school, so 5 x 2 = 10 people from his school. 3. He invited as many people from his sports club as the sum of people invited from his hometown and his school, so 5 + 10 = 15 people from his sports club. Now let's calculate the total number of people invited from these three sources: Total invited from hometown + sports club = 5 + 15 = 20 people Total invited from school + sports club = 10 + 15 = 25 people The total number of people invited is: 20 + 25 = 45 people Now let's find the number of remaining invitations: 45 people (previously mentioned) * 20% = 9 people Finally, let's add the remaining invitations to the total number of people invited from the three sources to find out how many people can potentially come to the party: 45 people + 9 people = 54 people So, 54 people can potentially come to the party Martin is organizing., Let's break this down step-by-step: 1. Martin invited 5 people from his hometown. 2. He invited twice as many people from his school as from his hometown, so he invited 2 * 5 = 10 people from his school. 3. Martin also invited an equal number of people from his sports club as the total number of people he invited from his hometown and school: 5 + 10 = 15 people. 4. Let's denote the number of people invited from the sports club as "x". So, we have x = 15. 5. Now, we are told that the remaining invitations represent 20% of the total invitations up to this point. Since there are no more invitations left to be distributed, this "remaining" group actually refers to the entire guest list. 6. We know that 20% of the total number of invitations (which is the same as 100% of the guest list) is equal to the sum of invitations to the school and hometown: 0.20 * (5 + 10 + x) = 5 + 10 + 15. 7. Simplifying the equation: 0.20 * (20 + x) = 30. 8. Further simplification: 4 + 0.20x = 30. 9. Solving for x: 0.20x = 26. 10. Thus, x = 130. However, this value doesn't make sense in the context of our problem since it suggests that Martin invited 130 people from his sports club, which is more than the total number of invitations mentioned earlier. There is an inconsistency in the information provided in the question, making it impossible to accurately determine the total number of potential party guests.,Martin invited 5 people from his hometown. He invited twice as many people from his school, so he invited 5 x 2 = 10 people from his school. He invited as many people from his sports club as the sum of people invited from his hometown and his school, so he invited 5 + 10 = 15 people from his sports club. The total number of people invited from his hometown, school, and sports club is 5 + 10 + 15 = 30 people. The remaining invitations represent 20% of the total previously mentioned, so 20% of 30 people is 0.20 x 30 = 6 people. Therefore, Martin can potentially have 30 + 6 = 36 people at his party. 36 The answer is: 36

answer:There are a total of 130 sandcastles and towers on both beaches. Here's the reasoning: 1. On Mark's beach, there are 20 sandcastles with 10 towers each. 2. So, on Mark's beach, there are 20 (sandcastles) + 20 × 10 (towers) = 200 items. 3. On Jeff's beach, there are three times as many castles as on Mark's beach, which is 20 × 3 = 60 castles. 4. Each of these castles has 5 towers, so on Jeff's beach, there are 60 (castles) + 60 × 5 (towers) = 360 items. 5. Therefore, the combined total number of sandcastles and towers on both beaches is 200 (Mark's) + 360 (Jeff's) = 560 items.,On Mark's beach, there are 20 sandcastles with 10 towers each, making a total of 20 x 10 = 200 towers. On Jeff's beach, there are 3 times as many sandcastles as on Mark's beach, so there are 3 x 20 = 60 sandcastles. Each sandcastle has 5 towers, so there are 60 x 5 = 300 towers. To find the combined total number of sandcastles and towers on both beaches, you add their respective sandcastles and towers together: 200 towers + 300 towers = 500 towers, on Mark's and Jeff's beaches respectively. There are a total of 60 sandcastles + 20 sandcastles = 80 sandcastles on both beaches. Therefore, the combined total number of sandcastles and towers on Mark's and Jeff's beaches is 80 sandcastles and 500 towers.,On Mark's beach, there are 20 sandcastles, and each sandcastle has 10 towers, so there are 20 * 10 = 200 towers on Mark's beach. On Jeff's beach, there are three times as many castles as on Mark's beach, so there are 20 * 3 = 60 castles on Jeff's beach. Each castle on Jeff's beach has 5 towers, so there are 60 * 5 = 300 towers on Jeff's beach. The combined total number of sandcastles is 20 + 60 = 80 sandcastles. The combined total number of towers is 200 + 300 = 500 towers. Therefore, the combined total number of sandcastles and towers is 80 + 500 = 580. 580 The answer is: 580

answer:To solve this problem, we need to determine the value of x, which represents the number of pairs Lisa started with. Let's break down the information given: Number of pairs Lisa bought: 12 Number of pairs Sandra brought: 20 Number of pairs Lisa's cousin brought: 1/5 * 20 = 4 Number of pairs Lisa's mom brought: x * 12 + 8 Total number of pairs Lisa ended up with: 80 We can set up the equation as follows: Number of pairs Lisa bought + Number of pairs Sandra brought + Number of pairs Lisa's cousin brought + Number of pairs Lisa's mom brought = Total number of pairs Lisa ended up with 12 + 20 + 4 + (x * 12 + 8) = 80 Let's simplify and solve for x: 12 + 20 + 4 + 12x + 8 = 80 44 + 12x = 80 To isolate x, we subtract 44 from both sides of the equation: 44 + 12x - 44 = 80 - 44 12x = 36 To solve for x, we divide both sides of the equation by 12: x = 36 / 12 x = 3 The value of x is 3. 3 The answer is: 3,Let's break down the information and solve this problem step by step. 1. Lisa bought 12 pairs of socks from the discount store. 2. Sandra brought 20 pairs of socks. 3. Lisa's cousin brought one-fifth the number of pairs that Sandra brought. 4. Lisa's mom brought 8 more than x times the number of pairs Lisa started with. 5. Lisa ended up with 80 pairs of socks. Let's find the number of pairs of socks Lisa's cousin brought: Lisa's cousin brought 1/5 * 20 = 4 pairs of socks. Now let's find the number of pairs of socks Lisa's mom brought. Let x be the number of times Lisa started with: Lisa's mom brought 8 more than x times the number of pairs Lisa started with: 8 + x * 12 = the number of pairs Lisa started with. To find x, we can solve this equation: 8 + 12x = 12 12x = 4 x = 1/3 Now let's find the total number of pairs of socks Lisa had after buying them, which is 12: 12 + 20 + 4 + (1/3 * 12) = 5 + 4 = 9 Finally, let's find the total number of pairs of socks Lisa had after her mom brought them: 12 + 20 + 4 + 9 = 45 Since Lisa ended up with 80 pairs of socks, we can see that the information provided is not correct. Therefore, we cannot find the correct value of x using the given information., Lisa started with 12 pairs of socks (the ones she bought at the discount store). Then, Sandra brought 20 pairs, and her cousin brought one-fifth of that amount, which is 20/5 = 4 pairs. After work, Lisa's mom brought (x+1) times the initial number of pairs since she brought 8 more than x times the number of pairs Lisa started with. In total, Lisa has 12 + 20 + 4 + (12*(x+1)+8) pairs of socks, which equals 80. Let's solve for x: 12 + 20 + 4 + 12x + 12 + 8 = 80 12x + 46 = 60 12x = 14 x = 14/12 = 7/6 So, Lisa's mom brought 7/6 times the number of pairs Lisa started with, plus 8. Since Lisa ended up with 80 pairs, that means her mom brought: (12*(7/6)) + 8 = 14 + 8 = 22 pairs. Therefore, Lisa's mom brought 22 pairs of socks to add to the collection.