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

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

$=\frac{2}{3} x$

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