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Direct and Inverse Variations | Direct and Inverse Variations Exercise 10.2

Question 11

1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted now for 32 more days. How many soldiers left the fort?

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Total soldiers = 1200

Let us consider the number of soldiers transferred to another fort be ‘x’ soldiers

After four days number of soldiers left the fort = 1200 – x

And for remaining soldiers (1200 – x) the food lasted for 32 more days

We know k = xy

24 × 1200 = 32 × (1200-x)

28800 = 38400 – 32x

32x = 38400 – 28800

32x = 9600

x = 9600/32

= 300

∴ 300 soldiers left for another fort.

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Our top 5% students will be awarded a special scholarship to Lido.

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Question 11

1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted now for 32 more days. How many soldiers left the fort?

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

Total soldiers = 1200

Let us consider the number of soldiers transferred to another fort be ‘x’ soldiers

After four days number of soldiers left the fort = 1200 – x

And for remaining soldiers (1200 – x) the food lasted for 32 more days

We know k = xy

24 × 1200 = 32 × (1200-x)

28800 = 38400 – 32x

32x = 38400 – 28800

32x = 9600

x = 9600/32

= 300

∴ 300 soldiers left for another fort.

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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