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.

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.

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Lydia 2 weeks 2021-09-14T00:17:56+00:00 1 Answer 0

Answers ( )

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    2021-09-14T00:19:52+00:00

    Answer:

    26,250

    Step-by-step explanation:

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

    P=P\frac{3}{7} +15,000

    P is equal to \frac{3}{7} the total number of spectators in the covered area plus the 15,000 spectators in the open.

    Solve for P

    P=P\frac{3}{7} +15,000\\P-P\frac{3}{7}=15,000\\7*\frac{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\frac{3}{7} =15,000\\(26,250)-(26,250)\frac{3}{7}=15,000\\ 26,250-11,250=15,000\\15,000=15,000

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