Question 1194888
 Derek had 5/6 as many lollipops as Justin.
 When Justin gave half of his lollipops to Derek, he had 60 fewer lollipops than his friend. How many lollipops did Justin have at first?
:
let j = original no. of lollipops that Justin had
then
{{{5/6}}}j = original no. that Derek had
:
"When Justin gave half of his lollipops to Derek, he had 60 fewer lollipops than his friend.
{{{1/2}}}j = {{{5/6}}}j + {{{1/2}j - 60
common denominator is 6
{{{3/6}}}j = {{{5/6}}}j + {{{3/6}j - 60
{{{3/6}}}j = {{{8/6}}}j - 60
get rid of the fractions, multiply by 6, cancel the fractions
3j = 8j - 6(60)
3j - 8j = -360
-5j - -360
j = -360/-5
j = 72 lollipops, Justin had at first
:
:
Check this, (5/6)72 = 60 lollipops Derek had at first
half of 72 is 36, therefore
36 = 60 + 36 - 60