We appreciate your visit to Heather and Amanda each improved their yards by planting rose bushes and geraniums They bought their supplies from the same store Heather spent 50 on. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
- rose bush: $7
- geranium: $12
Step-by-step explanation:
You want the cost of one each of a rose bush and a geranium if 2 rose bushes and 3 geraniums cost $50, and 6 rose bushes and 12 geraniums cost $186.
Setup
Letting r and g represent the costs of a rose bush and a geranium, respectively, the two purchases can be represented by ...
2r +3g = 50
6r +12g = 186
Solution
Subtracting 3 times the first equation from the second, we have ...
(6r +12g) -3(2r +3g) = (186) -3(50)
3g = 36 . . . . . . simplify
g = 12 . . . . . . . divide by 3
Then the cost of a rose bush can be found using the first equation:
2r +3(12) = 50
2r = 14 . . . . . . . . . . subtract 36
r = 7 . . . . . . . . . . . divide by 2
The cost of a rose bush is $7; the cost of a geranium is $12.
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