Question

Which of the following tables represents a ratio which is greater than the ratio in the table above?

Consider the measurements as the ratio of the top measurement to the bottom measurement.
A.
D.
Kilograms 5 8
Grams 5,000 8,000
Gallons
Cups
Yards
Feet
8
128 176
3
11
9
6
18
Centimeters 25
Millimeters 20 50
Pounds 11 14
Ounces 176 224

Answer 1

To compare the ratios in the tables, we can use the cross multiplication method. This method involves multiplying the antecedent of one ratio by the consequent of the other ratio and comparing the products. For example, to compare the ratio of kilograms to grams in table A with the ratio of centimeters to millimeters in table D, we can do:

5 x 50 = 250 8 x 20 = 160

Since 250 > 160, the ratio in table A is greater than the ratio in table D.

Using this method, we can compare the ratios in each table with the ratio in the table above. We get:

Table A: 8 x 128 = 1024 and 3 x 176 = 528. Since 1024 > 528, the ratio in table A is greater than the ratio in the table above. Table B: 9 x 20 = 180 and 6 x 50 = 300. Since 180 < 300, the ratio in table B is less than the ratio in the table above. Table C: 11 x 224 = 2464 and 14 x 176 = 2464. Since both products are equal, the ratio in table C is equal to the ratio in the table above. Table D: See example above.

Therefore, the correct answer is table A, which represents a ratio that is greater than the ratio in the table above.