4. 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?
5. A farmer has enough food to feed 20 animals in his cattle for 6 days. How long
would the food last if there were 10 more animals in his cattle?
6. A contractor estimates that 3 persons could rewire Jasminder's house in 4 days. If,
he uses 4 persons instead of three, how long should they take to complete the job?
7. A batch of bottles were packed in 25 boxes with 12 bottles in each box. If the same
batch is packed using 20 bottles in each box, how many boxes would be filled?
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Answers
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Answer: hey mate here is your answers
Step-by-step explanation:
4] Given: If sweets are divided among 24 children, each get 5.
If the number of children is reduced by 4,
Number of children left: 24 - 4 = 20.
We need to find how many sweets will a child gets
Let the number of sweets be y.
Number of children: 24 20
Number of sweets: 5 y
As the number of students increases, the number of sweets decreases. ∴ They are in inverse proportion
24 * 5 = 20 * y
24 * 5/ 20 = y { 20 and 5 cancelled beacuse 5 *4 =20 }
24/4 = y
6 = y
Thus each child will get 6 sweets.
5] Given: Food is giving to 20 animals for 6 days.
If there were 10 more animals in cattle,
Total number of animals = 20 + 10 = 30.
We need to find how long the food will last.
Let number of food be x.
Number of Days: 6 x
Number of Animals: 20 30
As we increase the number of animals, the number of days will last
decrease.
∴ They are in inverse proportion.
6 * 20 = x * 30
6 * 20 / 30 = x
6 * 2/3 = x { here first cut the zeros and then we cut 6 and 3 }
2 * 2 = 4
∴ Food will last for 2 days.
6] Given: 3 persons can rewire the house in 4 days.
We need to find how many days would it take if number of workers is 3 .
Let the number of days be y.
Number of person: 3 3
Number of days: 4 y
As we decrease the number of persons , time taken would increase.
∴ They are in inverse proportion.
3 * 4 = 3 * y
3 * 4/ 3 = y
4 = y
∴ It would require 4 days to complete the job.
7] Given: 25 boxes are packed with 12 bottles in each.
We need to find number of boxes if 20 bottles are in each box.
Let the number be x.
Number of boxes: 25 x
Number of bottles: 12 20
As we increase the number of bottles in each box , the number of boxes be packed decrease.
∴They are in inverse proportion.
25 * 12 = x * 20
25 * 12 / 20 = x
5 * 3 = 15
∴ 15 boxes will be filled.
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