Appearance
question:f a video game costs 50 and Nina receives 10 per week as her allowance, planning to save half of it, how many weeks will it take for her to save enough money to buy the new video game, considering there is a 10 percent sales tax?
answer:Nina receives 10 per week as her allowance, and she plans to save half of it, so she saves 10/2 = 5 per week. The video game costs 50, but there is a 10 percent sales tax, so the total cost will be 50 + (50 * 10%) = 50 + 5 = 55. To save enough money to buy the video game, Nina needs to save 55. If she saves 5 per week, it will take her 55 / 5 = 11 weeks to save enough money. 11 The answer is: 11
question:f the ratio of fuel used in gallons to the distance covered in miles by Haley's car is 4:7, and the car used 44 gallons of gas, what is the distance it covered in miles?
answer:If the ratio of fuel used in gallons to the distance covered in miles is 4:7, this means that for every 4 gallons of fuel used, the car covers 7 miles. If the car used 44 gallons of gas, we can set up a proportion: 4 gallons / 7 miles = 44 gallons / x miles Cross-multiplying, we get 4x = 7 * 44 Simplifying, we get 4x = 308 Dividing both sides by 4, we get x = 77 Therefore, the car covered 77 miles. 77 The answer is: 77
question:Ever since she was a little girl, Sheila has dreamed of traveling the world. To help fund her dream, she bought a large piggy bank in December and started saving. By last week, she had saved 3,000. Pleased with her progress, she has decided to continue saving x per month, for 4 years. Today, Sheila’s family secretly added 7,000 into the piggy bank. At the end of 4 years, There will be 23248 money in Sheila's piggy bank. What is the value of unknown variable x? What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the amount of money Sheila saves per month. Sheila started with 3,000 in her piggy bank. Her family added 7,000 to the piggy bank. At the end of 4 years, there will be 23,248 in the piggy bank. Let's break down the information given: Initial amount in the piggy bank: 3,000 Amount added by Sheila's family: 7,000 Total amount at the end of 4 years: 23,248 Amount saved per month: x We can set up the equation as follows: Initial amount + Amount added by family + (Amount saved per month * Number of months) = Total amount at the end 3,000 + 7,000 + (x * 12 * 4) = 23,248 Let's simplify and solve for x: 10,000 + (x * 48) = 23,248 To isolate x, we subtract 10,000 from both sides of the equation: 10,000 - 10,000 + (x * 48) = 23,248 - 10,000 x * 48 = 13,248 To solve for x, we divide both sides of the equation by 48: x = 13,248 / 48 x = 276 The value of x is 276. 276 The answer is: 276
question:Bea and Dawn both have a lemonade stand. Bea sells her lemonade at 25 cents while Dawn sells hers at 28 cents. If Bea sold 10 glasses and Dawn sold x glasses, Bea earned 26 more money (in cents) than Dawn. What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the number of glasses of lemonade Dawn sold. Let's break down the information given: Price of Bea's lemonade: 25 cents Price of Dawn's lemonade: 28 cents Number of glasses of lemonade Bea sold: 10 Difference in earnings between Bea and Dawn: 26 cents We can set up the equation as follows: Price of Bea's lemonade * Number of glasses of lemonade Bea sold = Price of Dawn's lemonade * Number of glasses of lemonade Dawn sold + Difference in earnings 25 * 10 = 28 * x + 26 Let's simplify and solve for x: 250 = 28x + 26 To isolate x, we subtract 26 from both sides of the equation: 250 - 26 = 28x + 26 - 26 224 = 28x To solve for x, we divide both sides of the equation by 28: x = 224 / 28 x = 8 The value of x is 8. 8 The answer is: 8