Question 1141992
a adults
x students
c children


{{{system(a+c+x=207,c/a=2,5c+7x+12a=1498)}}}
Simplify and solve the system.

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{{{a+2a+x=207}}}
{{{3a+x=207}}}
{{{x=207-3a}}}{{{and}}}{{{c=2a}}}


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The revenue equation can be written in terms of just one variable, a.
{{{10a+7(207-3a)+12a=1498}}}
Solve for a;
use it to find x and c.




FURTHER STEPS
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{{{10a+1449-21a+12a=1498}}}
{{{a+1449=1498}}}
{{{a=98-49}}}
{{{highlight(a=49)}}}--------adults
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{{{c=2a}}}
{{{c=2*49}}}
{{{highlight(c=98)}}}-------children
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{{{x=207-a-c}}}
{{{x=207-49-98}}}
{{{highlight(x=60)}}}---------students