Question

Which of the following are equivalent ratios? Select ALL that are equivalent.

a) 75 to 100
b) 20 to 30
c) 3 to 4
d) 30 to 50
e) 15 to 20

Answer 1

The equivalent ratios from the given options are a) 75 to 100 and e) 15 to 20, as both can be simplified to 3 to 4, making them equivalent to option c) 3 to 4.

Step-by-step explanation:

To determine which of the following are equivalent ratios, we can simplify each ratio or convert each to a common form such as fractions, decimals, or percentages. An equivalent ratio has the same value when both terms are multiplied or divided by the same number.

• a) 75 to 100 can be simplified to 3/4 by dividing both numbers by 25.
• b) 20 to 30 can be simplified to 2/3 by dividing both numbers by 10.
• c) 3 to 4 is already in simplest form.
• d) 30 to 50 can be simplified to 3/5 by dividing both numbers by 10.
• e) 15 to 20 can also be simplified to 3/4 by dividing both numbers by 5.

From the list, the pairs a) 75 to 100 and e) 15 to 20 can be simplified to the ratio 3 to 4, making them equivalent ratios. Thus, options a) and e) are equivalent to options c) 3 to 4.