A garden center sells two kinds of trees: Redbud and Dogwood. Redbud trees cost $37, and Dogwood trees cost $45. One week, the garden center sold 18 trees, and made a total of $754. How many of each tree was sold?

Answer 1

Let x be the number of Redbud trees sold and y be the number of Dogwood trees sold.

From the information given, we can set up the following system of equations:

x + y = 18 (total number of trees sold)
37x + 45y = 754 (total revenue from selling the trees)

Now we can solve the system of equations.

From the first equation:
x = 18 - y

Substitute this into the second equation:
37(18 - y) + 45y = 754
666 - 37y + 45y = 754
8y = 88
y = 11

Substitute y = 11 back into x = 18 - y:
x = 18 - 11
x = 7

Therefore, 7 Redbud trees and 11 Dogwood trees were sold.