Margo can purchase tile at a store for $0.89 per tile and rent a tile saw for $27. 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?

Respuesta :

She must buy 90 tiles for the cost to be the same at both stores

Step-by-step explanation:

Margo can purchase tile in one of two stores

  • $0.89 per tile and rent a tile saw for $27 in the first store
  • borrow the tile saw for free and $1.19 per tile in the second store

We need to find how many tiles she must buy for the cost to be the

same at both stores

Assume that she will buy n tiles

1st store:

∵ She buys n tiles

∵ The cost of each tile = $0.89

∵ She rents a tile saw for $27

The cost of the first store = 27 + 0.89 n

2nd store:

∵ She buys n tiles

∵ The cost of each tile = $1.19

∵ She rents a tile saw for free

The cost of the second store = 1.19 n

Equate the costs of the two stores

1.19 n = 27 + 0.89 n

- Subtract 0.89 n from both sides

∴ 0.3 n = 27

- Divide both sides by 0.3

n = 90 tiles

She must buy 90 tiles for the cost to be the same at both stores

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Answer:

She must have 90 tiles

Step-by-step explanation: