MIT

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question:Ariana is past due on three bills. The first bill for 200 charges 10% simple interest for each overdue month and it's 2 months overdue. The second bill for 130 charges a flat 50 late fee per month and is 6 months overdue. The last bill is two months late and charges a 40 fee the first month overdue and twice that fee the second month overdue and is for 444. How much does Ariana owe in total?

answer:For the first bill, Ariana owes 200 and it's 2 months overdue, so she has to pay an additional 10% interest for each month. The total interest charged is 10% x 200 = 20 per month. For 2 months overdue, the total interest charged is 20 x 2 = 40. So, for the first bill, Ariana owes 200 + 40 = 240. For the second bill, Ariana owes 130 and it's 6 months overdue, so she has to pay a 50 late fee per month. The total late fees charged is 50 x 6 = 300. So, for the second bill, Ariana owes 130 + 300 = 430. For the last bill, Ariana owes 444 and it's 2 months overdue. The first month overdue, she has to pay a 40 fee, and the second month, she has to pay twice that fee, so the total fee charged is 40 + (40 x 2) = 40 + 80 = 120. So, for the last bill, Ariana owes 444 + 120 = 564. In total, Ariana owes 240 + 430 + 564 = 1234. 1234 The answer is: 1234

question:Jane is shopping for some fruit. She sees a stand of fruit advertising 10 apples for x, and another one advertising 5 oranges for 1.50. Assuming there's no price discount for buying in bulk, how much would Jane spend in cents if she bought 12 of the cheaper of the two fruits? If we know the answer to the above question is 240, what is the value of unknown variable x?

answer:The stand of apples is advertising 10 apples for x, so the price per apple is x/10. The stand of oranges is advertising 5 oranges for 1.50, so the price per orange is 1.50/5 = 0.30. Since Jane wants to buy the cheaper of the two fruits, she will buy apples. The total cost of buying 12 apples is (x/10) * 12 = 12x/10 = 6x/5 dollars. To convert the cost to cents, we multiply by 100: (6x/5) * 100 = 600x/5 = 120x cents. We are given that the cost is 240 cents, so we can write: 120x = 240. Solving for x, we get: x = 2. The value of x is 2. 2 The answer is: 2

question:Anya has 4 times as many erasers as Andrea. If Andrea has x erasers, Anya has 12 more erasers than Andrea. 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 erasers Andrea has. We know that Anya has 4 times as many erasers as Andrea. Therefore, Anya has 4x erasers. We also know that Anya has 12 more erasers than Andrea. Therefore, Anya has x + 12 erasers. We can set up the equation as follows: Anya's number of erasers = 4 times Andrea's number of erasers x + 12 = 4x Let's simplify and solve for x: 4x - x = 12 3x = 12 To isolate x, we divide both sides of the equation by 3: x = 12 / 3 x = 4 The value of x is 4. 4 The answer is: 4

question:On Thursday the Meat Market sold 210kg of ground beef. On Friday they sold twice that amount. On Saturday they only sold 130kg. On Sunday they sold half of what they sold Saturday. If they originally planned to sell only 500kg, how much meat did they sell beyond their original plans?

answer:On Thursday they sold 210kg of ground beef. On Friday they sold twice that amount, so they sold 210kg * 2 = 420kg of ground beef. On Saturday they sold 130kg of ground beef. On Sunday they sold half of what they sold Saturday, so they sold 130kg / 2 = 65kg of ground beef. In total, they sold 210kg + 420kg + 130kg + 65kg = 825kg of ground beef. They originally planned to sell 500kg, so they sold 825kg - 500kg = 325kg beyond their original plans. 325 The answer is: 325