Question

Mary and Jose brought plants from the same store. Mary spent $188 on 7 cherry trees and 11 rose bushes. Jose spent $236 on 13 cherry trees and 11 rose bushes. Write the system of equations that that you would use to to find the cost of a cherry tree and the cost of a rose bush.

Answer 1

The system of equations representing the cost of cherry trees and rose bushes from Mary's and Jose's purchases is 7x + 11y = $188 and 13x + 11y = $236, where x is the cost of a cherry tree and y is the cost of a rose bush.

Step-by-step explanation:

To find the cost of a cherry tree and the cost of a rose bush from the information given, we need to set up a system of linear equations. Let x represent the cost of one cherry tree and y represent the cost of one rose bush. From Mary's purchase, we have the equation 7x + 11y = $188. From Jose's purchase, we have the equation 13x + 11y = $236. The system of equations to solve is:

• 7x + 11y = 188
• 13x + 11y = 236

To solve this system, we can use methods such as substitution or elimination in order to find the values of x and y.