Feeding the Fish

I have two fish tanks at home: a freshwater tank and a saltwater tank.

  • I feed my freshwater fish 18g of food each feeding. They are fed three times per day.
  • I feed my saltwater fish 25g of food each feeding. They are fed twice per day.
  • The freshwater fish food comes in a 750g container.
  • The saltwater fish food comes in a 500g container.

 

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Freshwater Tank 18g × 3 times/day 750g container Saltwater Tank 25g × 2 times/day 500g container

Question

If I start new containers of food for each tank on the same day, which container will run out first?

Justify your answer.

Solution

One way to determine which container will run out first is to make a table that keeps track of how much food is consumed in each tank.

The freshwater fish eat three meals of 18 g each day, so they consume 18 × 3 = 54 g per day.
The saltwater fish eat two meals of 25 g each day, so they consume 25 × 2 = 50 g per day.

We will continue tracking the amount of food consumed until we reach one of the container limits (750 g for freshwater, 500 g for saltwater).

On Day 10, the saltwater fish will have consumed exactly 500 g of food, which is the size of their container. The freshwater fish have not yet consumed 750 g of food. So the saltwater fish food container will run out first.

Alternatively, we could use division to determine which container will run out first:

  • For the freshwater fish: 750 g ÷ 54 g/day ≈ 13.89 days
  • For the saltwater fish: 500 g ÷ 50 g/day = 10 days

This confirms that the saltwater fish food container will run out first, lasting exactly 10 days, while the freshwater fish food container will last nearly 14 days.

Days Food Consumed (g) Freshwater Saltwater 500g 750g