A movie ticket costs 4 $f o r c h i l d r e n a n d$ $9$ for adults. Yesterday, there were 680 movie-goers and the theater collected a total of 5,235$. How many movie-goers were children yesterday?

88

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112

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177

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368

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Solution

The correct option is A $177$
Let the number of children are $x$
Then number of adults= $680 - x$
$∴ 4 x + 9 (680 - x) = 5235$
$\Rightarrow 4 x + 6120 - 9 x = 5235$
$\Rightarrow 4 x - 9 x = 5235 - 6120$
$\Rightarrow - 5 x = - 885$
$\Rightarrow x = \frac{885}{5} = 177$

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A movie ticket costs 4 forchildrenand 9 for adults. Yesterday, there were 680 movie-goers and the theater collected a total of 5,235$. How many movie-goers were children yesterday?

The correct option is A 177Let the number of children are xThen number of adults=680−x∴4x+9(680−x)=5235⇒4x+6120−9x=5235⇒4x−9x=5235−6120⇒−5x=−885⇒x=8855=177

A movie ticket costs 4 $f o r c h i l d r e n a n d$ $9$ for adults. Yesterday, there were 680 movie-goers and the theater collected a total of 5,235$. How many movie-goers were children yesterday?

The correct option is A $177$
Let the number of children are $x$
Then number of adults= $680 - x$
$∴ 4 x + 9 (680 - x) = 5235$
$\Rightarrow 4 x + 6120 - 9 x = 5235$
$\Rightarrow 4 x - 9 x = 5235 - 6120$
$\Rightarrow - 5 x = - 885$
$\Rightarrow x = \frac{885}{5} = 177$