Targets sells sets of pots ($30) and dishes ($20) at the local store. On the 4th of July weekend, Target's total sales were $2,600. People bought 6 times as many pots as dishes. How many of each did Target sell?

P=number of pots

d=number of dishes

6 times as many pots as dishes

p=6d

cost is 2600 total sales

2600=30p+20d

sub 6d for p

2600=30 (6d) + 20d

2600=180d+20d

2600=200d

divide both sides by 200

13=d

sub back

p=6d

p=6 (13)

p=78

78 pots and 13 dishes