Question

An artist can spend any amount between ₹ 80 to ₹ 200 on brushes. If cost of each brush is ₹ 5 and there are 6 brushes in each packet, then how many packets of brush can the artist buy?

Answer 1

Given the artist can spend any amount between ₹ 80 to ₹ 200

Let the number of packets of brush he can buy be x

Given cost of 1 brush = ₹ 5

Cost of 1 packet brush (6 brushes) = ₹ 5 × 6 = ₹ 30

∴ Cost of x packets of brushes = 30x

∴ The inequation becomes 80 < 30x < 200

Dividing throughout by 30 we get `80/30` < `(30x)/30` < `200/30`

`8/3` < x < `20/5`,

`2 2/3` < x < `6 2/3`

brush packets cannot get in fractions.

∴ The artist can buy 3 < x < 6 packets of brushes,

or x = 3, 4, 5 and 6 packets of brushes.