Question

Krystal and Danielle each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Krystal spent $114 on 1 daylily and 12 pots of ivy. Danielle spent $150 on 10 daylilies and 10 pots of ivy. Find the cost of each item.

Answer 1

• $9 and $6

Explanation:

Let the cost of daylilies = d and ivy = i, then we have below equations:

• d + 12i = 114
• 10d + 10i = 150

Simplify the second equation:

• d + i = 15

Subtract the second equation from the first:

• d - d + 12i - i = 114 - 15
• 11i = 99
• i = 9, ivy costs $9

Now find d:

• d = 15 - 9 = 6, daylilies cost $6