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
