We appreciate your visit to James and Amy each improved their yards by planting sod and geraniums They bought their supplies from the same store James spent 66 on 2. 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
• One foot of sod: $11
,• One geranium: $11
EXPLANATION
First, name the variables:
• x: cost of 1 foot of sod
,• y: cost of 1 geranium
We know that James spent $66 buying 2 feet of sod - which cost 2x, and 4 geraniums - which cost 4y.
Also, Amy spent $55 on 1 ft of sod - with a cost of x, and 4 geraniums - with a cost of 4x.
We have the system of equations,
[tex]\begin{cases}2x+4y=66 \\ x+4y=55\end{cases}[/tex]Solve using elimination - i.e. subtract the second equation from the first,
Hence, one foot of sod costs $11.
To find the cost of one geranium we have to replace x = 11 in one of the equations. Replacing in the second equation,
[tex]11+4y=55[/tex]And solve for y. Subtract 11 from both sides,
[tex]\begin{gathered} 11-11+4y=55-11 \\ 4y=44 \end{gathered}[/tex]And divide both sides by 4,
[tex]\begin{gathered} \frac{4y}{4}=\frac{44}{4} \\ \\ y=11 \end{gathered}[/tex]Hence, one geranium costs $11
Thanks for taking the time to read James and Amy each improved their yards by planting sod and geraniums They bought their supplies from the same store James spent 66 on 2. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
The cost of one foot of sod and one geranium from their yard improvements, determined through a system of equations, is $11 each.
James and Amy purchased sod and geraniums for their yard improvements, which allows us to set up a system of equations to find the cost of one ft of sod and one geranium. James spent $66 on 2 ft of sod and 4 geraniums, and Amy spent $55 on 1 ft of sod and 4 geraniums. We can represent the cost of one ft of sod as 's' and the cost of one geranium as 'g'.
This gives us two equations based on their purchases:
2s + 4g = $66 (James' purchase)
1s + 4g = $55 (Amy's purchase)
Subtracting the second equation from the first, we eliminate g and solve for s:
(2s + 4g) - (1s + 4g) = $66 - $55
2s - s = $11
s = $11 (cost of one ft of sod)
Now, we substitute the value of s back into any of the original equations to solve for g:
1s + 4g = $55
1($11) + 4g = $55
$11 + 4g = $55
4g = $44
g = $11 (cost of one geranium)
Therefore, the cost of one ft of sod is $11 and the cost of one geranium is also $11.
