Answer:
∴ Team b scores is 630
And team a scores is 810
Step-by-step explanation:
Given;
Team a scores [tex]9[/tex] runs for every [tex]7[/tex] runs that team b scores.
Lets,
Think b is scores [tex]x[/tex] runs;
Then a is scores [tex]x+(2\times\frac{x}{7} )[/tex];
Because every 7 runs of b , a is scores more 2 runs.
Total number of runs scored by both teams is 1440
Runs score by team a + Runs score by team b=1440
[tex]x+(2\times\frac{x}{7} )+ x =1440[/tex]
[tex]2\times x+ \frac{2\times x}{7}=1440[/tex]
[tex]\frac{(14\times x)+(2\times x)}{7} =1440[/tex]
[tex]\frac{16\times x}{7} =1440[/tex]
[tex]16\times x=1440\times 7[/tex]
[tex]x=\frac{10080}{16}[/tex]
[tex]x=630[/tex]
∴ Team b scores is 630
And team a scores is [tex]630+(2\times \frac{630}{7} )=810[/tex]