Question

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?

Answer 1

Answer:

∴ Team b scores is 630

And team a scores is 810

Step-by-step explanation:

Given;

Team a scores $9$ runs for every  $7$ runs that team b scores.

Lets,

Think b is scores  $x$ runs;

Then a is scores $x+(2\times\frac{x}{7} )$;

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

$x+(2\times\frac{x}{7} )+ x =1440$

$2\times x+ \frac{2\times x}{7}=1440$

$\frac{(14\times x)+(2\times x)}{7} =1440$

$\frac{16\times x}{7} =1440$

$16\times x=1440\times 7$

$x=\frac{10080}{16}$

$x=630$

∴ Team b scores is 630

And team a scores is $630+(2\times \frac{630}{7} )=810$