Question

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Question:

An artist can spend anywhere from rs80 to rs200 on brushes. If brushes cost rs4.50 each but only come in sealed packets of 6 each, how many packets of brushes can the artist buy?​

Answer 1

Answer:

3, 4, 5, 6

Step-by-step explanation:

Given the artist can spend any amount between Rs 80 to Rs 200.  

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

Given cost of 1 brush = Rs 5.  

Cost of 1 packet brush (6 brushes) = Rs 5 x 6.  

= Rs 30.  

∴ Cost of x packets of brushes = 30 x.  

∴ The inequation becomes 80 ≤ 30x ≤ 200.  

Dividing throughout by 30 we get 80/30 ≤ 30x/30 ≤  200/30.

8/3 ≤ x ≤  20/3 ;

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.