Question

Question 14

Answer 1

Answer:

The cost of each bushes is $9.00

The cost of each bonsai trees is $32.00

Step-by-step explanation:

The given parameters are

The amount the company paid for 15 bushes and 8 bonsai trees = $391

The amount for which the company purchased 9 more bushes and 5 more bonsai trees = $241

Let x represent the cost of each bushes and let y represent the cost of each Bonsai Trees, we have;

15 × x + 8 × y = 391...(1)

9 × x + 5 × y = 241...(2)

We make y the subject of both equations to get;

For equation (1), we have;

15·x + 8·y = 391

15·x + 8·y = 391

8·y = 391 - 15·x

y = 391/8 - 15/8·x

For equation (2), we have;

9 × x + 5 × y = 241

5·y = 241 - 9·x

y = 241/5 - 9/5·x

Equating both equations, gives;

391/8 - 15/8·x = 241/5 - 9/5·x

391/8 - 241/5 = 15/8·x - 9/5·x = 0.075·x

0.675 = 0.075·x

x = 0.675/0.075 = 9

x = 9

Therefore, the cost of each bushes = x = $9.00

From, y = 241/5 - 9/5·x, we have;

y = 241/5 - 9/5×9 = 32

y = 32

Therefore, the cost of each bonsai trees = y = $32.00