At a dinner party with an equal number of adults and children, adults are seated at tables of exactly 8 and children are seated at tables of exactly 4. What is the minimum number of children attending? _____ children

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At a dinner party with an equal number of adults and children, adults are seated at tables of exactly 8 and children are seated at tables of exactly 4. What is the minimum number of children attending?  _____ children

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Identify Relationship:  Identify the relationship between the number of adults and children. Since the number of adults equals the number of children, let's denote the number of adults as A and the number of children as C. Thus, A = C. Adults Seating Arrangement:  Determine the seating arrangement for adults. Adults are seated at tables of 8. If A adults are present, the number of tables needed for adults is A/8. Children Seating Arrangement:  Determine the seating arrangement for children. Children are seated at tables of 4. If C children are present, the number of tables needed for children is C/4. Find Minimum Children:  Since the number of adults equals the number of children (A = C), and each adult table seats 8 while each child table seats 4, we need to find the minimum number of children such that the number of tables for adults and children are integers. Set Up Equation:  Set up an equation based on the relationship between adults and children. Since A = C and adults are seated at tables of 8, we need to find the smallest C such that C/4 (children's tables) is an integer and C/8 (adults' tables) is also an integer. The smallest common multiple of 4 and 8 that satisfies this condition is 8. Calculate Minimum Children:  Calculate the minimum number of children. Since the smallest number that works for both C/4 and C/8 is 8, the minimum number of children is 8.

At a dinner party with an equal number of adults and children, adults are seated at tables of exactly $8$ and children are seated at tables of exactly $4$ . What is the minimum number of children attending? $\newline$ $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ children

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At a dinner party with an equal number of adults and children, adults are seated at tables of exactly 888 and children are seated at tables of exactly 444. What is the minimum number of children attending?\newline_______________\_\_\_\_\_\_\_\_\_\_\_\_\_\_\________________ children

At a dinner party with an equal number of adults and children, adults are seated at tables of exactly $8$ and children are seated at tables of exactly $4$ . What is the minimum number of children attending? $\newline$ $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ children