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?

Question

Liana Pierce

Business

5 January, 11:48

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?

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Answers (1)

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Jakob Morrow · Answer 1

Cost of one bush is $23

Cost of one tree is $47

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