One of the rows in Harry’s table does not have the same ratio as the other rows.

Conversion Chart

Gallons
Cups
Row 1
2
32
Row 2
5
80
Row 3
9
134
Row 4
12
192

Which row does not have the same ratio as the others?
Row 1
Row 2
Row 3
Row 4

1 answer

To find the row that does not have the same ratio of gallons to cups, we can calculate the ratio for each row and see if they are the same.

  1. Row 1: 2 gallons to 32 cups \[ \text{Ratio} = \frac{32 \text{ cups}}{2 \text{ gallons}} = \frac{32}{2} = 16 \]

  2. Row 2: 5 gallons to 80 cups \[ \text{Ratio} = \frac{80 \text{ cups}}{5 \text{ gallons}} = \frac{80}{5} = 16 \]

  3. Row 3: 9 gallons to 134 cups \[ \text{Ratio} = \frac{134 \text{ cups}}{9 \text{ gallons}} \approx 14.89 \]

  4. Row 4: 12 gallons to 192 cups \[ \text{Ratio} = \frac{192 \text{ cups}}{12 \text{ gallons}} = \frac{192}{12} = 16 \]

The ratios are:

  • Row 1: 16
  • Row 2: 16
  • Row 3: 14.89 (not 16)
  • Row 4: 16

From this, we can see that Row 3 does not have the same ratio as the other rows. Thus, the answer is:

Row 3.

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