Question 1205512
<pre>
PERSON     ORIGINAL        SPENT         REMAINING MONEYS
Tom           t             x                99
John          j            j/4               3j/4
</pre>
Ratio tom to john before any spending
{{{t/j=5/2}}}


Ratio of money remaining for each after spending
{{{x/(j/4)=7/4}}}


Tom's remaining money,  99.
{{{t-x=99}}}



System of equations
{{{system(4x/j=7/4,t/j=5/2,t-x=99)}}}


.

.

{{{system(16x=7j,2t=5j,t=x+99)}}}


Substituting for t,
.
.
{{{system(16x-7j=0,2x-5j=-198)}}}


.

.

{{{system(j=48,t=120,x=21)}}}


What the present cost:
{{{x+j/4}}}

{{{21+48/4}}}

{{{21+12}}}

{{{highlight(33)}}}