Question 664993
x = children
y = adults
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x+y = 1000, which is the same as x = 1000-y
.5(x) + 1.5(y) = 1300
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Substitute x into the second equation
.5(1000-y) + 1.5y = 1300
500 - .5y + 1.5y = 1300
Combine like terms
1y = 1300 - 500
1y = {{{highlight(800)}}} adults
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.5x + 1.5(800) = 1300
.5x = 1300 - 1200
.5x = 100
x = {{{highlight(200)}}} children
...
Check {{{cartoon(
800 + 200,
1000)}}}
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