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The ratio of boys and girls in a groupis 7 : 6. If 4 more boys join the group and 3 girls leave the group, then the ratio of boys to
girls becomes 4 : 3. Whatis the total number of boys and girls initially in the group?
117
78
91
104
The ratio of boys and girls in a group is 7 : 6. Let the boys be 7x and girls be 6x. When 4 more boys join the group and 3 girls leave the group, then the ratio of boys to girls = 4 : 3
21x + 12 = 24x -12 3x = 24 x = 8 Initially boys and girls = 7x + 6x = 13x = 13 8 = 104
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