A coat costs $15 more than a dress. Two coats and 4 dresses cost $150. Find the cost of each.

C = coat

d = dress

c = (d + 15)

d = d

2 coats = 2 (d + 15)

4 dresses = 4d

2 (d + 15) + 4d = 150

Find d

2 (d + 15) + 4d = 150

2d + 30 + 4d = 150

2d + 4d + 30 = 150

6d + 30 = 150

6d = 150 - 30

6d / 6 = 120 / 6

d = 20

Substitute 20 for d in d + 15 to find c

d + 15

20 + 15

35

c = 35

coat = $35.00

dress = $20.00