Question

Personal Math Trainer Lesson 15.2 - Homework - Homework 112131415 5 16 17 8 Margo can purchase tile at a store for $0.69 per tile and rent a tile saw for $56. At another store she can borrow the tile saw for free if she buys tiles there for $1.39 per tile. How many tiles must she buy for the cost to be the same at both stores? Margo must buy tiles for the cost to be the same at both stores.

Answer 1

Let Margo buy x number of tiles, So total cost of tiles and tile saw at first store is,

`y=0.69x+56`

The total cost equation for tile and tile saw for second store (which provide tile saw for free).

`\begin{gathered} y=1.39x+0 \\ =1.39x \end{gathered}`

Determine the number of tiles for total cost of tiles and tile saw to be equal from both store is,

`\begin{gathered} 1.39x+0.69x+56 \\ 1.39x-0.69x=56 \\ 0.70x=56 \\ x=(56)/(0.70) \\ =80 \end{gathered}`

So Margo purchase 80 tiles, such that total cost is equal from both the stores.