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

∴ Team b scores is 630

And team a scores is 810

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*(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*(x)/(7) )+  x =1440`

`2* x+ (2* x)/(7)=1440`

`((14* x)+(2* x))/(7) =1440`

`(16* x)/(7) =1440`

`16* x=1440* 7`

`x=(10080)/(16)`

`x=630`

∴ Team b scores is 630

And team a scores is
`630+(2* (630)/(7) )=810`