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in june , a camp has 325 campers and 26 counselors, in july,265 campers leave and 215 new campersarrive.How many counselors does the camp need in july to keep an equivalant ratio of campers to counselors

1 Answer

5 votes

Answer:

  • 22 counselors

Step-by-step explanation:

1. Ratio of campers to counselors in june:

  • number of campers: 325

  • number of counselors: 26

  • Ratio = number of campers / number of counselors

  • Ratio = 325 campers / 26 counselors

2. Ratio of campers to counselors in july:

  • number of campers = 325 - 265 + 215 = 275

  • number of counselors = x (unknown)

  • Ratio = 275 campers / x

3. Equivalent ratios:

  • 325 campers / 26 counselors = 275 campers / x

Solve for x:

  • x = (26counselors/325campers) × 275campers = 22 counselors ← answer

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