Find the cost of one rose bush and the cost of one pot of ivy.

Question

Jack and Shayna each improved their yards by planting rose bushes and ivy. They bought theirsupplies from the same store. Jack spent $62 on 3 rose bushes and 8 pots of ivy. Shayna spent $22 on 1 rose bush and 3 pots of ivy. Find the cost of one rose bush and the cost of one pot of ivy.

Answer 1

Let's call rose bush R and Ivy bush I. Then, 3*R + 8*I = 62, and also 1*R + 3*I = 22

From here we can state: 1*R = 22 - 3*I

If we substitute this into the first equation, we get: 3*(22 - 3*I) + 8*I = 62 => 66 - 9*I + 8*I = 62 => -1*I = -4

=> I = 4

Then, 1*R = 22 - 3*I = 22 - 3*4 = 10

Answer: Rose Bush costs $10 each and Ivy bush costs $4 each