Question

Which of the following ratios are equivalent to the ratio 5.1?

A) 20.4

B) 4.22

C) 20.5

D) 7.35

Answer 1

The correct answer is option A) 20.4, as it is the only ratio that, when multiplied by the same factor as the original ratio 5:1, yields an equivalent ratio.

Step-by-step explanation:

The correct answer is option A) 20.4. To determine if two ratios are equivalent, you can cross-multiply and see if the products are the same. With the ratio 5:1, if we multiply 5 by 4, we get 20, and if we multiply 1 by 4, we get 4. So, the equivalent ratio would make the same multiplication or division across both terms. To verify this, look at the options:

• 5 x 4 = 20, and 1 x 4 = 4, hence 20:4 is equivalent to 5:1.
• 5 x 0.84 does not equal 1 x 4.22, so 4.22 is not equivalent to 5:1.
• 5 x 4.1 does not equal 1 x 20.5, so 20.5 is not equivalent to 5:1.
• 5 x 1.47 does not equal 1 x 7.35, so 7.35 is not equivalent to 5:1.

Only option A provides a pair of numbers that, when multiplied by the same value, gives products that match the original ratio of 5:1.