Question 1184558
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Let x be the number of stickers in the box.<br>
Faith and Ayan took {{{1/2}}} of the stickers while Julia and Shafiq took the rest.
[1] {{{F+A=(1/2)x}}}
[2] {{{J+S=(1/2)x}}}<br>
Ayan had {{{1/3}}} as many stickers as Faith.
[3] {{{A=(1/4)(1/2)x = (1/8)x}}}
[4] {{{F=(3/4)(1/2)x = (3/8)x}}}<br>
Faith had twice as many stickers as Julia.
[5] {{{J=(1/2)(3/8)x = (3/16)x}}}<br>
Then from [2] and [5],
{{{S=(5/16)x}}}<br>
Shafiq had 45 stickers more than Ayan.
{{{(5/16)x=(1/8)x+45}}}
{{{(5/16)x=(2/16)x+45}}}
{{{(3/16)x=45}}}
{{{x=45/(3/16)=45(16/3) = 15*16=240}}}<br>
ANSWER: 240<br>