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

 Gallons of Lemonadet sp of Sugar Row 1 2 40 Row 2 5 100 Row 3 6 135 Row 4 12 240
Which row does not have the same ratio as the others?
(1 point)
Responses
a. Row 1 b. row 2 c. row 3 d. row 4

1 answer

To determine which row does not have the same ratio of galloons of lemonade to pounds of sugar, we can calculate the ratio for each row and compare them.

  1. Row 1:

    • Gallons of Lemonade: 2
    • Pounds of Sugar: 40
    • Ratio: \( \frac{2}{40} = \frac{1}{20} = 0.05 \)
  2. Row 2:

    • Gallons of Lemonade: 5
    • Pounds of Sugar: 100
    • Ratio: \( \frac{5}{100} = \frac{1}{20} = 0.05 \)
  3. Row 3:

    • Gallons of Lemonade: 6
    • Pounds of Sugar: 135
    • Ratio: \( \frac{6}{135} = \frac{2}{45} \approx 0.0444 \)
  4. Row 4:

    • Gallons of Lemonade: 12
    • Pounds of Sugar: 240
    • Ratio: \( \frac{12}{240} = \frac{1}{20} = 0.05 \)

Now, comparing the ratios:

  • Rows 1, 2, and 4 all have the same ratio of \( \frac{1}{20} \) or 0.05.
  • Row 3 has a different ratio of \( \frac{2}{45} \) or approximately 0.0444.

Therefore, the row that does not have the same ratio as the others is c. Row 3.