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Water Filter vs Bottled Water

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Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her money?
How much water does Janine drink in a day? She normally drinks 5 bottles a day, each 16.9 ounces.
How much does a bottle of water cost? She buys 24-packs of 16.9 ounce bottles for $3.59.

How much does a reusable water bottle cost? About $10.
How long does a reusable water bottle last? Basically forever (or until you lose it).
How much does a water filter cost? How much water will they filter? A faucet-mounted filter costs about $28 and includes one filter cartridge. Refill filters cost about $33 for a 3-pack.
The box says each filter will filter up to 100 gallons (378 liters)

Which option is cheapest over one year (365 days)? The cheapest option saves her BLANK DOLLARS over a year.
Give your answer to the nearest cent. Pro-rate the costs (so if you only use half of a filter pack, only count half the cost).

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First, consider the amount of water Janine drinks.
Number of ounces Janine drinks in 1 day = 5 bottles * 16.9 ounces/bottle = 84.5 ounces
Number of ounces Janine drinks in 1 year = 84.5 ounces/day * 365 days/year = 30,842.5 ounces

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Next, consider buying bottled water.
Amount of water in a 24-pack = 24 bottles * 16.9 ounces/bottle = 405.6 ounces per pack
Number of 24-packs ...

Solution provided by:
J Pye, MSc
Education
  • MSc, California State Polytechnic University, Pomona
  • MBA, University of California, Riverside
  • BSc, California State Polytechnic University, Pomona
  • BSc, California State Polytechnic University, Pomona
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