Mrs james left a tray on the counter early one morning. Larry ate 1/3 Of the cookies. Barry ate 1/4 Of the remaining cookies. them terry ate

Question

Mrs james left a tray on the counter early one morning. Larry ate 1/3 Of the cookies. Barry ate 1/4 Of the remaining cookies. them terry ate 1/2 Of the remaining cookies. Mrs james found the tray with 6 cookies left. how many cookies were on the tray when Mrs james first left it on the counter?

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Answers ( No )

    0
    2021-11-26T08:33:26+00:00

    Let’s assume

    number of cookies in the beginning =x

    Larry ate 1/3 Of the cookies

    so, the remaining cookies are

     =x-\frac{1}{3} x

     =\frac{2}{3} x

    now, we have

    Barry ate 1/4 Of the remaining cookies

    so, the remaining cookies are

     =\frac{2}{3} x-\frac{1}{4}*\frac{2}{3} x

     =\frac{2}{3} x-\frac{1}{6} x

     =\frac{2*2}{3*2} x-\frac{1}{6} x

     =\frac{4}{6} x-\frac{1}{6} x

     =\frac{3}{6} x

     =\frac{1}{2} x

    Terry ate 1/2 Of the remaining cookies

    so, the remaining cookies are

     =\frac{1}{2} x-\frac{1}{2}*\frac{1}{2} x

     =\frac{1}{2} x-\frac{1}{4} x

     =\frac{1}{4} x

    Mrs James found the tray with 6 cookies left

    so, the remained cookies =6

    so, we get

     \frac{1}{4} x=6

      x=24

    Hence ,

    number of cookies were on the tray when Mrs James first left it on the counter are 24………….Answer

    0
    2021-11-26T08:33:31+00:00

    24 cookies were in the beginning.

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