a table cost 5 times as much as a chair. for $40000 a trader can buy 20 more chairs than tables. find the cost of a chair and number of tables.

Chair is $1600

Table are 5 pieces

Step-by-step explanation:

Let the cost of a chair be x then for a table, it will be 5x since table cost 5 times as much as a chair.

For $40000, chairs alone will be 40000/x while tables will be 40000/5x=8000/x

The difference between these numbers is 20 hence

40000/x-8000/x=20

32000/x=20

X=32000/20=1600

The cost of a chair is $1600

Table will be 5*1600=$8000

The number bought will be proved as follows

Chairs=40000/1600=25 pieces

Tables=40000/8000=5 pieces

Difference in number is 25-5=20