High School

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 4 geraniums and 10 shrubs.

Find the cost of one geranium and one shrub.

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:

https://brainly.com/question/35467992

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