# The attendance at two baseball games on successive nights was 77,000. The attendance on​ Thursday's game was 7000 more than​ two-thirds of the attendance at Friday​ night's game. How many people attended the baseball game each​ night?

The attendance at two baseball games on successive nights was 77,000. The attendance on​ Thursday's game was 7000 more than​ two-thirds of the attendance at Friday​ night's game. How many people attended the baseball game each​ night?
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Emaidedip6g
Let the attendance of Friday night be x and the attendance of Thursday night be y.
Here, given
$x+y=77000\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}$ equation 1
$y=\frac{2}{3}x+7000\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}$ equation 2
When we put eq. 2 in eq. 1
$x+\frac{2}{3}x+7000=77000$
$x+\frac{2}{3}x=77000-7000$
$\frac{5}{3}x=70000$
$x=14000\cdot 3$
$x=42000$
$y=35000$