Tina and Tom were twins. Tina saves and Tom spends. Tom found a $20 note on Sund

  1. profile image43
    HAPPY_STARposted 8 years ago

    Tina and Tom were twins. Tina saves and Tom spends. Tom found a $20 note on Sunday evening and spent

    Tina and Tom were twins. Tina saves and Tom spends. Tom found a $20 note on Sunday evening and spent $2 a day starting on Monday. But Tina started work that Monday and gets $2.50 a day. What is the first day when Tina has more money than Tom?

  2. ngureco profile image81
    ngurecoposted 8 years ago

    Let Y be the day when Tina's Money is equal to that of Tom's money.

    20 - 2Y = 2.5 x Y
    20 = 2.5 x Y + 2Y
    20 = 4.5 x Y
    Y = 20/4.5
    Y = 4.44

    Tina had more money by around midday on Friday.

    But you should learn to do your class home work on your own.

  3. t.elia profile image71
    t.eliaposted 8 years ago

    Tom has $20 which he spends @ $2 per day starting Monday.

    Tina saves $2.50 per day starting on the Monday.

    One needs to find out on what Day does

    Tina have more money than Tom?

    $2.50 will be represented by 2.5

    Therefore  I'll use the formula

    .................... 2.5n  >  20 - 2n (change side -  change sign)

    ...........2.50n  +  2n  >  20

    .....................4.5n  >  20

    ..........................n  > 20 / 4.5

    ..........................n  > 4.44...

    So Tina had more money than Tom in the 5th day which was the Friday, as n  >  4.44

    To prove this let 5 represent n in the formula

    ........................2.5n  >  20 - 2n

    ...............=    (2.5 x 5)  >  20 - (2 x 5)

    ...............=.......12.5      >  20 - 10

    ...............=.......12.5      >   10

    Therefore the answer is Friday.


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