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A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $327.50. The second order was for bushes and 2 trees, and totaled $142.96. Sam tried to use system of equation to solve the problem, if b represents brushes and t represent trees which system can Sam use
A
13b + 4t =327.50
6b + 2t = 142.96
B
13b + 2t =327.50
6b + 4t =142.96
C
13b + 4t = 142.96
6b + 2t = 327.50
D
4b + 13t = 327.50
2b + 6t = 142.96


Sagot :

The system of equations that Sam can use is given by:

A 13b + 4t =327.50, 6b + 2t = 142.96

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable b: Cost of a bush.
  • Variable t: Cost of a tree.

The first order was for 13 bushes and 4 trees, and totaled $327.50, hence:

13b + 4t = 327.50.

The second order was for 6 bushes and 2 trees, and totaled $142.96, hence:

6b + 2t = 142.96.

Which means that option A is correct.

More can be learned about a system of equations at https://brainly.com/question/24342899