Question

John needs to buy at least 100 tiles to redecorate his bathroom. The tiles are sold in packs of 6.


In which inequality does n represent the minimum number of packs John needs to buy for his bathroom?

Answer 1

Answer: $n\geq17$

Step-by-step explanation:

Let n= Number of packs John needs.

Tiles in 1 pack = 6

Tiles in n pack = 6n

If he needs at least 100 tiles.

then

6n ≥ 100

$\Rightarrow\ n\geq100\\\\\Rightarrow\ n\geq\dfrac{100}{6}\\\\\Rightarrow\ n\geq\dfrac{50}{3}\\\\\Rightarrow\ n\geq16.67\\\\\Rightarrow\ n\geq 17$

The required inequality: $n\geq17$