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A landscaping company has giving quotes to 2 different customers the first customer quote is $287 to install 13 bushes and 7 trees and the second customer' quote is $392 to install 8 bushes and 12 trees

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MrRoyal

The cost of installing a bush is $7 and the cost of installing a tree is $28

How to determine the cost of bushes and trees?

Represent the trees with t and the bushes with b.

So, we have the following equations:

13b + 7t = 287

8b + 12t = 392

Make t the subject in 13b + 7t = 287

t = (287 - 13b)/7

Substitute t = (287 - 13b)/7 in 8b + 12t = 392

8b + 12 * (287 - 13b)/7 = 392

Multiply through by 7

56b + 12 * (287 - 13b) = 2744

Expand

56b + 3444 - 156b = 2744

Collect like terms

56b - 156b = 2744 - 3444

-100b = -700

Divide both sides by -100

b = 7

Substitute b = 7in t = (287 - 13b)/7

t = (287 - 13*7)/7

Evaluate

t = 28

Hence, the cost of installing a bush is $7 and the cost of installing a tree is $28

Read more about system of linear equations at:

https://brainly.com/question/14323743

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