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Patty purchased rose bushes and geraniums for her yard. She spent $206 on 14 rose bushes and 12 geraniums. The price of a geranium is $5 less than twice the cost of a rose bush. What is the cost of one rose bush?

Answer :

9514 1404 393

Answer:

$7

Step-by-step explanation:

Let r and g represent the costs of a rose bush and a geranium, respectively. The given relations are ...

14r +12g = 206

g = 2r -5

Using the second equation to substitute for g in the first equation, we have ...

14r +12(2r -5) = 206

38r -60 = 206

38r = 266

r = 266/38 = 7

The cost of one rose bush is $7.

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