Question

A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $487. The second order was for 6 bushes and 2 trees, and totaled $232. The bills do not list the per-item price. What were the costs of one bush and one tree?

Answer 1

Cost of one bush is $23

Cost of one tree is $47

Step-by-step explanation:

Let cost of one bush be x

Cost of one tree be y

Total cost of first order was $487

Total cost of second order was $232

We know that

13x + 4y = 487...............................................(1)

6x +2y = 232 or 3x + y = 116

y = 116 - 3x......................................................(2)

Substituting y's value obtained in equation (2) in equation (1) we get,

13x + 4(116-3x) = 487

487 = 13x + 464 - 12x

x = 23

Cost of one bush is $23

Substitute x's value in equation (2) to get value of y

y = 116 - 3(23)

= 47

Cost of one tree is $47