Margo can purchase tile at a store for $0.79 per tile and rent a tile saw for $24. At another store she can borrow the tile saw for free if she buys tiles there for $1.19 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.

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absor201 absor201 · Answer 1 · 2019-12-14T09:18:48+01:00

Margo must buy 60 tiles for the cost to be the same at both stores.

Step-by-step explanation:

Let x be the number of tiles purchased

Then

For Store 1:

24+0.79x

For store 2:

1.19x

For the number of tiles, we have to put both expression equal

[tex]24+0.79x = 1.19x[/tex]

subtracting 24 from both sides

[tex]24+0.79x-24 = 1.19x-24\\0.79x=1.19x-24[/tex]

Subtracting 1.19x from both sides

[tex]0.79x-1.19x = 1.19x-24-1.19x\\-0.4x = -24[/tex]

Dividing both sides by -0.4

[tex]\frac{-0.4x}{-0.4} = \frac{-24}{-0.4}\\x =60[/tex]

Hence,

Margo must buy 60 tiles for the cost to be the same at both stores.

Keywords: Linear equations

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