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

Answer:

4

Step-by-step explanation:

Let the expenditure = ₹120

cost of one brush =₹5

Then we find how many how many brush can bought in ₹120

The brush can bought in ₹ 120 = 24

One packet contains six brush so we find how many packets contain 24 brushes

so we divide 24 by 6 the answer will be 4

Answer 2

The artist can buy 3, 4, 5, or 6 packets of brushes

Solution:

Given that,

An artist can spend any amount between ₹ 80 to ₹ 200 on brushes

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

Cost of each brush = Rs 5

Number of brushes in each packet = 6

Then,

Cost of 1 packet brush (6 brushes) = $5 \times 6$ = Rs 30

Then,

Cost of x packets brush = Rs 30x

From given,

Artist can spend any amount between ₹ 80 to ₹ 200 on brushes

Therefore, inequality is framed as:

$80\leq 30x\leq 200\\\\Solve\ the\ inequality$

Divide throughout by 30

$\frac{80}{30}\leq \frac{30x}{30}\leq \frac{200}{30}\\\\\frac{8}{3}\leq x\leq \frac{20}{3}\\\\2.67\leq x\leq 6.67$

Since number of brushes cannot be in fractions,

$3\leq x\leq 6$

Thus the artist can buy 3, 4, 5, 6 packets of brushes

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