Question

There are 3 gold coins and 7 silver coins in Bella's coin collection. What is/are the different way(s) to represent the ratio of the number of gold coins to the number of silver coins?

• A. $3:7$
• B. $\frac{3}{7}$
• C. $7\text{to}3$
• D. $3\text{to}7$

Answer 1

Answer: (A), (B), (D)

$3\text{to}7$

Ratios can be written in several different ways: as a fraction, using the word "to", or with a colon.

We can write a ratio as a fraction by writing the antecedent of the ratio as the numerator, and the consequent of the ratio as the denominator.

The ratio of the number of gold coins to the number of silver coins $=\frac{3}{7}$

We could also write it using the word "to," as ''antecedent to consequent'' which is $3\text{to}7.$

We could write this ratio using a colon as ''antecedent : consequent'' which is $3:7.$