Question

PLEASE HELP FOR 20 POINTS

A landscaping company has two orders for bushes and trees. Order 1 for 12 bushes and 15 trees that will cost the customer $600

Order 2 for 8 bushes and 20 trees that will cost the customer $680

What is the cost of one bush?

Answer 1

$15

Explanation:

Let bushes = b and trees = t.

We can write:

12b + 15t = 600 (Equation 1)

8b + 20t = 680 (Equation 2)

24b + 30t = 1200 (Equation 3 -- Multiply Equation 1 by 2)

24b + 60t = 2040 (Equation 4 -- Multiply Equation 2 by 3)

30t = 840 (Subtract Equation 3 from 4)

t = 28 (Divide by 30)

12b + 15 * 28 = 600 (Substitute t = 28 into Equation 1)

12b = 180 (Simplify)

b = 15 (Divide by 12)