Question

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?

Answer 1

13 dishes and 78 pots were sold

Explanation:

Let x be the no. of dishes

We are given that People bought 6 times as many pots as dishes.

So, no. of pots = 6x

Cost of 1 pot = $30

Cost of 6x pots = 30(6x) = 180x

Cost of 1 dish = $20

Cost of x dishes = 20x

We are given that Target's total sales were $2,600.

So, equation becomes :
`180x+20x=2600`

`200x=2600`

`x=13`

So, 13 dishes were sold

No. of pots sold = 6x= 6(13) = 78

Hence 13 dishes and 78 pots were sold

Answer 2

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