Question

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 (1/2) 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 1

6 weeks

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