We appreciate your visit to Kristi and Josh each improved their yards by planting geraniums and shrubs Kristi spent 108 on 6 geraniums and 5 shrubs Josh spent 152 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 :
Final answer:
The cost of one geranium is $8 and the cost of one shrub is $12. This is found by creating a system of equations based on the given information and solving it.
Explanation:
This question is an application of a system of linear equations problem. Let 'g' be the price of one geranium and 's' be the price of one shrub..
From the given information, we can form these two equations:
- 6g + 5s = 108 (This is from Kristi's purchase)
- 4g + 10s = 152 (This is from Josh's purchase)
We can solve the system of equations by substitution or elimination method. Let's use the elimination method:
First, we can multiply the first equation by 2 and the second equation by 3. This gives us:
- 12g + 10s = 216
- 12g + 30s = 456
Then, we can subtract the second equation from the first to get:
20s = 240
This gives us 's' as 12 (one shrub costs $12).
We then substitute 's' into the first equation:
6g + 60 = 108, which reduces to 6g = 48. Therefore, 'g' is 8 (one geranium costs $8)
Learn more about System of Equations here:
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