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1/4 of the spectators at a basketball tournament are women. The number of girls is 2/5 the number of women. The number of men is 6 times the number of girls. The number of boys is 770 fewer than the number of men. How many spectators are at the basketball tournament?
 

 May 22, 2022
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Let the number of people at the tournament==P
Number of women at the tournament ==1/4P


Number of girls at the tournament==2/5 * 1/4P ==0.10P


Number of men at the tournament ==0.10P * 6==0.60P


P - 1/4P  - 1/10P==0.35P are men and boys
1/4P + 1/10P + 0.60P + (0.60P - 770) ==P


P ==1,400 people at the tournament.

 May 22, 2022

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