1. Questions

mathematics

Please help with explanation! Thanks

My four children are called Fiona, Ben, George and Darwin. Their birthdays are on the 15th,35th,144th and 323rd days of the year respectively. Which two of my children have their birthday on the same day of the week?

A Fiona and Darwin
B Ben and George
C George and Darwin
D Darwin and Ben

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
BRYAN

  1. must be George and Darwin, since you don't specify whether it is a leap yesr.
    But 323-144 = 179 is not a multiple of 7.

    So none of the above will always work. Maybe you can check the other gaps to see whether they will work on either a leap year or a non-leap year.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    oobleck

  2. Is option A the right answer?
    Considering 1st of Jan as Sunday, then 15th of day of the year falls on Sunday.
    So, I just did, 15 + (7×44) = 323
    I may be wrong though 😅 I'm curious to know the answer.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Aleks

  4. 15th day of the year*

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Aleks

  5. Hi Aleks,
    Yes , option A is correct.
    Could you please explain where (7×44) come from?

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    BRYAN

  6. omg what- 😭 😂
    okay sure!! :D
    I took 1st of January as Sunday.
    There's a difference of 7 days from one Sunday to the next Sunday and from one Monday to the next Monday and similarly for the rest of the days of the week.
    So if 15th day of the year is on Sunday, then what day of the year will be on next Sunday? You just need to add 7 days with 15 to move to the next Sunday.
    15 +7 = 22
    So the next Sunday will be 22nd day of the year. But none of the sibling' birthday is on "22nd day of the year".
    So if you keep on adding 7 with 15, you'll eventually get 323.
    That means, I had to add "7", 44 times with 15 to get to 323rd day of the year.
    Which also means, exactly 44 weeks after Fiona's birthday, they'll have Darwin's birthday.
    If you try this method (adding "7s") with any other siblings' birthdays, like George and Darwin or Fiona and George, it doesn't match. We never get a multiple of 7.
    Look at George and Darwin' for instant. George birthday falls on 144th day of the year.
    For Darwin' birthday to fall on the same day of the week, there needs to be a multiple of 7. Which never happens here, in this case. 144 + (7x26) = 326 , this crosses Darwin's birthday. Cause Darwin's on 323rd day of the year. So the right option can't be George and Darwin. We never get 323 by adding 7s with 144.

    I think that's the same thing what ooooblec meant :))

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Aleks

Respond to this Question

First Name

Your Response

Similar Questions

  1. Biology

    check my answers? 1. What is the difference between Darwin's theory of evolution and Lamarck's theory of evolution? A)Darwin believed that organisms changed gradually over time, but Lamarck thought they changed suddenly. B)Lamarck

  2. maths

    Ali, Ben and Cathy share an amount of money in the ratio 6 : 9 : 10 What fraction of the money does Ben get

  3. LA

    Which of the following sentences demonstrates correct subject-verb agreement? The children goes to bed later durning the summer, Fiona and Robert is riding the bus to the park this afternoon, They washes the car on sunny weekend

  4. English-A Raisin in the Sun

    In the book A Raisin in the Sun, what does Walter think about George Murchison? Please check my answer: Is this correct: Walter is jealous of George. He's jealous that George has been to New York and he hasn't. He's jealous of

  1. algebra

    Fiona and Greg play a number guessing game. Greg gives Fiona this hint about his two secret numbers, "The product of the two consecutive positive integers that i am thinking of is 11 more than their sum." What are Greg's numbers?

  2. science (any tutor)

    2. How did Darwin and Lamarck differ in their thinking about change in species? A.Darwin thought that organisms could induce their own changes, while Lamarck thought that change could only be induced by an organism’s

  3. PLZZZ HELP Literature Study pLZZZZZ

    1 According to the story, George and Lydia originally purchase the nursery because A. David McClean talks them into it. B. Wendy and Peter beg for it. C. they do not want to have to entertain their children. D. George believes

  4. Math

    Fiona spent 1/4 of her monthly salary on clothes and 2/3 of the remaining on shoes. She saved 1/4 of what was left and spent the rest on groceries. She spent $437.50 more on shoes than on groceries. a) How much money did she spend

  1. Math

    Ben, Miguel, and Corey paid $50 for a gift for their friend. They shared the cost in the ratio 5:3:2. How much more money did Ben spend than Miguel?

  2. Biology check please

    1. Who most influenced Darwin's idea that life could change slowly over a long period of time? (1 point) Malthus Hutton and Lyell Lamarck livestock breeders and farmers 2. Who most influenced Darwin's idea that some offspring are

  3. Mathematics

    $60 is shared between Ali,Ben and Carol in the ratio of 5:3:2. How much does Ben get?

  4. English

    Which of the following sentences demonstrates correct subject-verb agreement? A) The children goes to bed later during the summer B) Fiona and Robert is riding the bus to the park this afternoon C) They washes the car on sunny

View more similar questions or ask a new question.