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?

Answer 1

24 cookies were in the beginning.

Answer 2

Let's assume

number of cookies in the beginning =x

Larry ate 1/3 Of the cookies

so, the remaining cookies are

`=x-(1)/(3) x`

`=(2)/(3) x`

now, we have

Barry ate 1/4 Of the remaining cookies

so, the remaining cookies are

`=(2)/(3) x-(1)/(4)*(2)/(3) x`

`=(2)/(3) x-(1)/(6) x`

`=(2*2)/(3*2) x-(1)/(6) x`

`=(4)/(6) x-(1)/(6) x`

`=(3)/(6) x`

`=(1)/(2) x`

Terry ate 1/2 Of the remaining cookies

so, the remaining cookies are

`=(1)/(2) x-(1)/(2)*(1)/(2) x`

`=(1)/(2) x-(1)/(4) x`

`=(1)/(4) x`

Mrs James found the tray with 6 cookies left

so, the remained cookies =6

so, we get

`(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