Question

At a cricket match 3/7 of the spectators were in the covered area while 15000 were in open. Find the total number of spectators.

Answer 1

26,250

Explanation:

Ok, so lets find an equation for this situation. Lets say P is the total amount of spectators.

`P=P(3)/(7) +15,000`

`P` is equal to
`(3)/(7)` the total number of spectators in the covered area plus the 15,000 spectators in the open.

Solve for
`P`

`P=P(3)/(7) +15,000\\P-P(3)/(7)=15,000\\7*(4)/(7)P=15,000*7\\4P=105,000\\P=26,250`

So, the total amount of spectators (
`P`) equals 26,250.

Answer Check

We know 15,000 people are in the open.

`P-P(3)/(7) =15,000\\(26,250)-(26,250)(3)/(7)=15,000\\ 26,250-11,250=15,000\\15,000=15,000`