A lift has the capacity of 18 adults or 30 children. How many children can board the lift with 12 adults?
- A6
- B10Correct
- C12
- D15
Explanation
The lift's capacity is 18 adults or 30 children. This means 18 adults are equivalent to 30 children in terms of capacity.
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Establish the equivalence: 18 adults = 30 children Divide both sides by 6 to simplify the ratio: 3 adults = 5 children
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Calculate the capacity used by 12 adults: We have 12 adults. To find their equivalent in children, we can use the ratio: Since 3 adults = 5 children, 1 adult = 5/3 children So, 12 adults = 12 * (5/3) children = 4 * 5 children = 20 children. This means 12 adults occupy the same capacity as 20 children.
-
Calculate the remaining capacity for children: The total capacity of the lift is 30 children. If 12 adults (equivalent to 20 children) are already in the lift, the remaining capacity for children is: 30 children (total capacity) - 20 children (capacity used by adults) = 10 children.
Therefore, 10 children can board the lift with 12 adults.
The final answer is B) 10.

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