Question
At a school carnival, each man received 3 packets of mini cupcakes and each woman received 5 packets of mini cupcakes. Each accompanying child received 6 packets of mini cupcakes. 49 of the people at the school carnival were child. The ratio of the number of men to the number of women at the carnival was 4 : 7. Given that only 1996 packets of mini cupcakes were given away, how many people were there at the carnival?
4 m

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At a school carnival, each man received 3 packets of mini cupcakes and each woman received 5 packets of mini cupcakes. Each accompanying child received 6 packets of mini cupcakes. 49 of the people at the school carnival were child. The ratio of the number of men to the number of women at the carnival was 4 : 7. Given that only 1996 packets of mini cupcakes were given away, how many people were there at the carnival?