Writing Inequalities & Equations 8.8A

Marsha is changing her phone service. One data package charges an initial fee of $50 and $13.25 per month. The other has no initial fee but charges $25.75 per month for the same data package. Write an equation to find the number of months Marsha would have paid the same amount for either data package.

A water tank holds 256 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds 384 gallons but is leaking at a rate of 5 gallons per week. Write an equation to find the number of weeks needed for the amount of water in the two tanks to be the same

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Write an equation to find the number of hours for which the total amount that both places charge would be the same.

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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. Write an equation to find the number of tiles she must buy for the cost to be the same at both stores.