Sally runs an animal rescue company that allows families to adopt homeless pets. Last month, 23 of the adopted animals were dogs, 14 of were cats, and the rest were rabbits. Which number represents the part of the adoptions that were rabbits? (Desmos Calculator: Ctrl + select to open in a new tab) (1 point) Responses 112 1 over 12 512 5 over 12 1112 11 over 12 37

Answer 1

To find the number of rabbits adopted, we first need to determine the total number of animals adopted last month.

We know:

• Dogs adopted: 23
• Cats adopted: 14

First, we calculate the total number of dogs and cats: \[ 23 \text{ (dogs)} + 14 \text{ (cats)} = 37 \text{ (dogs and cats)} \]

Next, we denote the total number of animals adopted as \( T \). The total is given by: \[ T = 37 + \text{(number of rabbits)} \]

We need to find the number of rabbits: Let's say the number of rabbits adopted is \( R \). Therefore: \[ T = 37 + R \] Since we don't have the total number of adoptions, we can't compute \( R \) directly, but we can find the part of the adoptions that were rabbits.

The number of rabbits adopted can be expressed as: \[ R = T - 37 \]

Now, to find the part of the adoptions that were rabbits, we compute: \[ \text{Part of adoptions that were rabbits} = \frac{R}{T} = \frac{T - 37}{T} \]

This simplifies to: \[ = 1 - \frac{37}{T} \]

However, we still need the total \( T \) to compute it specifically. Since the options given do not provide a total number of animals, we assume \( R \) from earlier.

Without loss of generality, considering \( T \) might reasonably include additional rabbits, we need to clarify the question or utilize the options given.

Assuming the total mentioned was solely dog and cat adoptions, the remainder that could be computed was how many rabbits were part of that (implying 0 in this theoretical scenario): \[ R = 0 = T = 37 \implies \frac{0}{37} = 0 \]

Thus the choices imply the rabbits were adopted after those accounted, suggesting the part must be derived from the totals given. If we need to compute fractions directly:

From the choices provided:

• 1 represents a whole;
• Given the balance is 0 rabbits for absent parts leaves only \( \frac{5}{12} \) as a plausible fraction.

Thus among the options with reasoning: The answer that represents the part of the adoptions that were rabbits would be 5/12.

Note: if you'd like to provide the total number adopted including rabbits distinctly, please advise. The absence caused the fractional options remaining meaningless.