Question 1161784
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Let x be the amount Lucy had.<br>
Then the amount Neil had (at the beginning) was 3x+50.  (After spending $50, he had 3 times as much as Lucy.)<br>
Together in the beginning they had $200:<br>
{{{x+3x+50 = 200}}}
{{{4x = 150}}}
{{{x = 37.50}}}<br>
The amount Neil had at the beginning was 3x+50 = $112.50+$50 = $162.50.<br>
(or, the amount he had at the beginning was $200-$37.50 = $162.50)<br>