Question 1191479

Bryan’s money was 3 3/5 times his sister’s money. After his mother gave him $44 and his sister $122, Bryan then had twice as much money as his sister. How much money did Bryan have at first?
<pre>Let amount Bryan had at first, be B
With Bryan having {{{matrix(1,3, 3&3/5, or, 18/5)}}} of sister's amount, sister's initial amount = {{{5B/18}}}
Based on given info, we have: {{{matrix(3,3, B + 44, "=", 2(5B/18 + 122), B + 44, "=", 5B/9 + 244, B - 5B/9, "=", 200)}}}
                             9B - 5B = 1,800 ------ Multiplying by LCD, 9
                                  4B = 1,800
     Initial amount Bryan had, or {{{highlight_green(matrix(1,5, B, "=", "1,800"/4, "=", highlight(highlight_green(highlight("$450")))))}}}