1
Question
At a dance party a group of boys and girls exchange dances as follows:
one boy dances with 5 girls, a second boy dances with 6 girls, and so on, the last boy dancing with all girls. If b represents the number of boys and g the number of girls, then:
At a dance party a group of boys and girls exchange dances as follows:
one boy dances with 5 girls, a second boy dances with 6 girls, and so on, the last boy dancing with all girls. If b represents the number of boys and g the number of girls, then:
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Solution
The correct option is C b=g−4
Set up the following table, a one to tone correspondence between the elements of the boy set and the girl set:
Boy number =1,2,3,...b
Girl danced with =5,6,7,.....b+4;
∴ g=b+4;b=g−4
or the formula for the last term of the arithmetic sequence 5,6,7,....g;
g=5+(b−1)(1);b=g−4
Set up the following table, a one to tone correspondence between the elements of the boy set and the girl set:
Boy number =1,2,3,...b
Girl danced with =5,6,7,.....b+4;
∴ g=b+4;b=g−4
or the formula for the last term of the arithmetic sequence 5,6,7,....g;
g=5+(b−1)(1);b=g−4
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