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A greenhouse contained both 6-inch high geraniums and 3-inch high geraniums. The 6-inch high geraniums were taken out of the greenhouse in early spring and grew at a rate of 1 inch per week. The 3-inch high geraniums remained in the greenhouse and grew at a rate of 1.5 inches per week.

After the 6-inch high geraniums were taken outside, in how many weeks were both groups of geraniums the same height?

Answer :

Answer:

6 weeks

Step-by-step explanation:

Let the number of weeks be x.

Then we have an equation:

  • 6 + 1*x = 3 + 1 1/2 x
  • 6 + x = 3 + 1.5x
  • 1.5x - x = 6 - 3
  • 0.5x = 3
  • x = 3/0.5
  • x = 6 weeks

So after 6 weeks both 6-inch and 3-inch geraniums will have same height

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