Question

Joshua can purchase tile at one store for $0.99 per tile but he he will have to rent a tile saw for $25. At another store he can buy a tile for $1.50 per tile and borrow a tile saw for free. Find the number of tiles for which the cost is the same route to the nearest tile?

Answer 1

The number of tile for which the cost is same route to nearest tile is 49 .

Explanation:

Given as :

The cost which Joshua will pay for tile at one store = $ 0.99 per tile + $ 25 for tile saw

The cost which Joshua will pay for tile at another store = $ 1.50 per tile only

Let The number of tile for which the cost is same route to nearest tile = n

So, According to question

$ 0.99 × number of tile + $ 25 = $ 1.50 × number of tile

or, $ 0.99 × n + $ 25 = $ 1.50 × n

or, $ 1.50 × n - $ 0.99 × n = $ 25

I.e 0.51 × n = $ 25

∴ n =
`(25)/(0.51)`

I.e n = 49.01 ≈ 49

So, The number of tile for which the cost is same route to nearest tile = n = 49

Hence The number of tile for which the cost is same route to nearest tile is 49 . Answer