QuestionFebruary 3, 2026

Question 4 Indicate the answer choice that best completes the statement or answers the question. Find and interpret the solution to the system of equations that represents the situation. square ANIMALS The total number of cats and dogs at the shelter is 125. There are 5 more cats than dogs.

Question 4 Indicate the answer choice that best completes the statement or answers the question. Find and interpret the solution to the system of equations that represents the situation. square ANIMALS The total number of cats and dogs at the shelter is 125. There are 5 more cats than dogs.
Question 4
Indicate the answer choice that best completes the statement or answers the question.
Find and interpret the solution to the system of equations that represents the situation.
square  ANIMALS The total number of cats and dogs at the shelter is 125. There are 5 more cats than dogs.

Solution
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Answer

There are 65 cats and 60 dogs at the shelter. Explanation 1. Define Variables Let c be the number of cats and d be the number of dogs. 2. Set Up Equations The total number of cats and dogs is 125: c + d = 125. There are 5 more cats than dogs: c = d + 5. 3. Substitute and Solve Substitute c = d + 5 into c + d = 125: d + 5 + d = 125. Simplify: 2d + 5 = 125. Solve for d: 2d = 120, so d = 60. 4. Find Number of Cats Substitute d = 60 into c = d + 5: c = 60 + 5 = 65.

Explanation

1. Define Variables<br /> Let $c$ be the number of cats and $d$ be the number of dogs.<br /><br />2. Set Up Equations<br /> The total number of cats and dogs is 125: $c + d = 125$.<br /> There are 5 more cats than dogs: $c = d + 5$.<br /><br />3. Substitute and Solve<br /> Substitute $c = d + 5$ into $c + d = 125$: <br /> $d + 5 + d = 125$.<br /> Simplify: $2d + 5 = 125$.<br /> Solve for $d$: $2d = 120$, so $d = 60$.<br /><br />4. Find Number of Cats<br /> Substitute $d = 60$ into $c = d + 5$: <br /> $c = 60 + 5 = 65$.
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