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The boys and girls in a hobby club are in the ratio 7 : 5. If 8 boys leave the club and 4 girls join it, the club then has equal numbers of boys and girls. How many members did the club have to begin with?

Competition practiceRatio, Percentage & Commercial Math
  • A60
  • B68
  • C72
  • D84

Step-by-Step Solution

Let the numbers be and . Then → → , so there were 42 boys and 30 girls, i.e. 72 members. (After the change: 34 and 34, a total of 68.)
Answer: C) 72

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