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A cinema has three screens. $600$ people visit the cinema. $35$% go to screen 1. Four times as many go to screen 2 as go to screen 3.

How many go to screen 2?

This is what I have done:

$35$% of $600$ is $210$.

$600-210=390$

$4x+x=390$

$x=78$

$312$ people went to screen 2.

Is it right?

My question here, though, is whether the answer would stay the same if I say "four times more people went to screen 2 than to screen 3".

William A. Noble
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laila
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    You are right. And changing the wording would change the equation. Four times as many is $4x$. Four times more is generally $x+4x$ which would be $5x$. Although I see this wording get messed up in news reports etc. all the time. – turkeyhundt Feb 02 '15 at 23:47
  • Thank you for you reply.

    But: I used the formula 4x+x for wording Four Times As Many - which you said is 4x? I am confused ;/

     – laila Feb 02 '15 at 23:51
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    Oh. sorry. I was unclear. I meant $4x+x$ just for screen 2. So your equation would be $(x+4x)+x=390$ Which becomes $6x=390$. If it said Four Times More. – turkeyhundt Feb 03 '15 at 02:28
  • See https://english.stackexchange.com/questions/7894/x-times-as-many-as-or-x-times-more-than#7897 – William A. Noble Aug 07 '21 at 09:11

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Well, 35% of 600 is 210. That means there are 390 people left over. If we try out the "multiples of 4" thing, we get$$1, 4$$$$2, 8$$$$3, 12$$$$4, 16$$$$...$$$$78, 312$$If we kept going to the point I stopped, we would get 312+78=390, so 312 people went to screen 2 and 78 people went to screen 3.

ReliableMathBoy
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