During a baseball season, team a scores 9 runs for every 7 runs that team b scores. The total number of runs scored by both teams is 1440. How many run does each team score?

Respuesta :

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]