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At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?

A. [tex]2:3[/tex]
B. [tex]\frac{5}{3}[/tex]
C. [tex]3:5[/tex]

Answer :

To find an equivalent ratio of parrots to total birds at the pet store, follow these steps:

1. Understand the Ratio Given: Davina counted 12 parrots out of 20 total birds. The initial ratio of parrots to birds is 12:20.

2. Simplify the Ratio:
- Find the greatest common divisor (GCD) of 12 and 20.
- The GCD of 12 and 20 is 4.

3. Divide Both Terms by the GCD:
- Divide both 12 (parrots) and 20 (total birds) by 4.
- 12 ÷ 4 = 3
- 20 ÷ 4 = 5

4. Write the Simplified Ratio:
- After simplifying, the ratio of parrots to birds is 3:5.

Therefore, the equivalent ratio of parrots to birds at the pet store is 3 to 5.

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