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
Q. 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
Ratio Calculation: For every 9 children, there are 4 adults. So the ratio of children to adults is 9:4.
Assign Variables: Let's call the number of groups of children and adults x. This means there are 9x children and 4x adults.
Total Number Calculation: The total number of children and adults is 39. So, 9x+4x=39.
Combine Like Terms: Combine like terms: 13x=39.
Solve for x: Divide both sides by 13 to find x: x=1339.
Calculate x: Calculate x: x=3.
Calculate Number of Groups: Now, we know there are 3 groups of children. Multiply the number of groups by the number of children in each group: 9 children/group ∗3 groups.
Calculate Number of Children: Calculate the number of children: 9×3=27 children.
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