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Question
If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?
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Solution 1
Number of remaining children = 24 − 4 = 20
Let the number of sweets that each of the 20 students will get be x.
The following table is obtained:
| Number of students | 24 | 20 |
| Number of sweets | 5 | x |
If the number of students is smaller, then each student will get more sweets.
Since this is a case of inverse proportion,
24 × 5 = 20 × x
x = `(24xx5)/20`
x = 6
Hence, each student will get 6 sweets.
Solution 2
Sweets given to 1 child = 5
Then sweets given to 24 children = 24 × 5 = 120
Total sweets = 120
If the number of children decreases by 4
Number of remaining children = 24 − 4 = 20
Sweets given to each child = `120/20` = 6
If the number of children is reduced by 4, then each child will get 6 sweets.
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