Question 159775
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Total cost of tickets:
{{{A+C=160}}} -------------------------------> EQN 1
Cost for each:
{{{C=A-8}}} ---------------------------------> CONDTN 1
{{{A=A}}}
It follows via EQN 1: {{{9A+2C=160}}}, subst. CONDTN 1
{{{9A+2(A-8)=160}}} -------------------------> WORKING EQN
{{{9A+2A-16=160}}}
{{{11A=160+16=176}}}
{{{11A=176}}} ----> {{{cross(11)A/cross(11)=cross(176)16/cross(11)}}}
{{{A=16.00}}}, cost per Adult ticket
And, {{{C=16-8=8.00}}}, cost per Child ticket
Go back WORKING EQN to check:
{{{9*16+2(16-8)=160}}}
{{{144+2*8=160}}}
{{{144+16=160}}}
{{{160=160}}}
Thank you,
Jojo</pre>