At the newest animated movie, for every 9 children, there are 4 adults. There are a total of 39 children and adults at the movie. How many children are at the movie? children

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Ratio Relationship: Let's denote the number of children as C and the number of adults as A. According to the problem, for every 9 children, there are 4 adults. This gives us the ratio of children to adults as 9:4. We can express this relationship as C/A = 9/4. Total Number Equation: We also know that the total number of children and adults is 39. This gives us the equation C + A = 39. Express A in terms of C: To find the number of children, we need to solve the system of equations: 1) C/A = 9/4 2) C + A = 39 We can express A in terms of C using the first equation: A = (4/9)C. Substitute A into Equation: Substitute A = (4/9)C into the second equation: C + (4/9)C = 39. Combine Like Terms: Combine like terms: (1 + 4/9)C = 39. This simplifies to (9/9 + 4/9)C = 39, which is (13/9)C = 39. Solve for C: To find C, we multiply both sides of the equation by the reciprocal of (13/9), which is (9/13): C = 39 * (9/13). Calculate Number of Children: Calculate C: C = 39 * (9/13) = 3 * 9 = 27. So there are 27 children at the movie.

At the newest animated movie, for every $9$ children, there are $4$ adults. There are a total of $39$ children and adults at the movie. $\newline$ How many children are at the movie? $\newline$ children

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At the newest animated movie, for every $9$ children, there are $4$ adults. There are a total of $39$ children and adults at the movie. $\newline$ How many children are at the movie? $\newline$ children