Question

Dan and Lisa each improved their yards by planting daylilies and ivies. They bought their supplies from the same store. Dan spent $78 on 6 daylilies and 8 pots of ivies. Lisa spent $123 on 9 daylilies and 13 pots of ivies. What is the cost of one daylily? What is the cost of one pot of ivies?

Answer 1

Answer:

Cost of daylillies = $5

Cost of pot = $6

Step-by-step explanation:

Let

Cost of daylillies = x

Cost of pot = y

6x + 8y = 78 (1)

9x + 13y = 123 (2)

Multiply (1) by 9 and (2) by 6 to eliminate x

54x + 72y = 702 (3)

54x + 78y = 738 (4)

Subtract (3) from (4)

78y - 72y = 738 - 702

6y = 36

y = 36/6

y = 6

Substitute y = 6 into (1)

6x + 8y = 78 (1)

6x + 8(6) = 78

6x + 48 = 78

6x = 78 - 48

6x = 30

x = 30/6

x = 5

Cost of daylillies = $5

Cost of pot = $6