Question

In a pet store, the small fishbowl holds up to 225 gallons of water. The large fishbowl holds up to 213 times as much water as the small fishbowl. Eloise draws this model to represent the number of gallons of water the large fishbowl will hold. How many gallons of water does the large fishbowl hold?

Enter your answer as a mixed number in simplest form by filling in the boxes. $$

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Three rows of three squares side by side touching. Squares are divided into thirds vertically and fifths horizontally. In first two rows first two squares are completely shaded and 1 column is shaded in third square. In third row the top two rows of the first two squares and the first column of the third square are shaded

Answer 1

Explanation:

The large fishbowl holds up to 213 times as much water as the small fishbowl, which holds up to 225 gallons of water.

To find the capacity of the large fishbowl, we can multiply the capacity of the small fishbowl by 213:

Capacity of large fishbowl = 225 gallons * 213 = 47,925 gallons

Therefore, the large fishbowl can hold up to 47,925 gallons of water.

ANSWER 2:

In the first two rows, the first two squares are completely shaded, and one column is shaded in the third square. This means that each shaded portion is one-third of the total square horizontally, and two-fifths of the total square vertically.

In the third row, the top two rows of the first two squares are shaded, and the first column of the third square is shaded. This means that each shaded portion is two-thirds of the total square horizontally (since two out of the three rows are shaded), and two-fifths of the total square vertically.

To find the total area of shaded portions, we can add up the areas of each shaded rectangle:

Area of shaded portion in first two squares:

2/3 * 1/2 = 1/3

Area of shaded portion in third square:

1/3 * 2/5 + 2/3 * 2/5 = 4/15

Total area of shaded portions:

2 * 1/3 + 4/15 = 14/15

Therefore, the total area of the shaded portions is 14/15 of the total area of the nine squares.