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Mr. Jones spends $ 76 on movie tickets for a group of adults and children. How many children’s tickets did he purchase?

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by BTGmoderatorDC » Thu Oct 29, 2020 5:16 pm

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Mr. Jones spends $ 76 on movie tickets for a group of adults and children. How many children’s tickets did he purchase?

(1) Adult movie tickets cost $ 11 each and children’s movie tickets cost $ 7 each.
(2) Mr. Jones bought two more adult tickets than children’s tickets.



OA A

Source: Princeton Review
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Source: — Data Sufficiency |

BTGmoderatorDC wrote:
Thu Oct 29, 2020 5:16 pm
Mr. Jones spends $ 76 on movie tickets for a group of adults and children. How many children’s tickets did he purchase?

(1) Adult movie tickets cost $ 11 each and children’s movie tickets cost $ 7 each.
(2) Mr. Jones bought two more adult tickets than children’s tickets.



OA A

Source: Princeton Review
From statement 1 we have:
\(11x+7y= 76 \Longrightarrow x=5\) and \(y =3\). Sufficient \(\Large{\color{green}\checkmark}\)

From statement 2 we have:
\(x=2y\). We don't know the individual (adults, children) prices of the tickets. Insufficient \(\Large{\color{red}\chi}\)

Therefore, A
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