Question

Jaidee and Norachai each improved their yards by planting rose bushes and ivy. Jaidee spent $30 on 2 rose bushes and 2 pots of ivy. Norachai spent $100 on 3 rose bushes and 8 pots of ivy. What is the cost of one rose bush and the cost of one pot of ivy?

a) Rose bush: $5, Ivy pot: $8
b) Rose bush: $10, Ivy pot: $5
c) Rose bush: $15, Ivy pot: $10
d) Rose bush: $8, Ivy pot: $5

Answer 1

The cost of one rose bush and one pot of ivy were found by solving a system of equations, resulting in $4 for a rose bush and $11 for a pot of ivy, which does not match the given options.

Step-by-step explanation:

Jaidee and Norachai have bought rose bushes and pots of ivy and we need to find the cost of each item. We can represent the cost of a rose bush as R and the cost of a pot of ivy as I. Therefore, using the information provided, we have two equations:

• 2R + 2I = $30 (Jaidee's purchase)
• 3R + 8I = $100 (Norachai's purchase)

We can solve this system of equations through substitution or elimination. For simplicity, we'll use the elimination method:

1. Multiply the first equation by 4 to prepare for elimination:
   8R + 8I = $120
2. Subtract the second equation from this new equation:
   5R = $20
3. Now we can solve for R (the cost of a rose bush) by dividing both sides by 5:
   R = $4
4. Plug in the value of R into the first equation to find I:
   2($4) + 2I = $30
   2I = $30 - $8
   2I = $22
   I = $11

The cost of one rose bush is $4 and the cost of one pot of ivy is $11. However, this does not match any of the answer options provided in the question.