Question

A camp having 80 inmates, has food
sufficient for 70 days. How many inmates
should leave after 10 days so that the
remaining food lasts another 80 days?​

Answer 1

Answer:

20 inmates should leave

Step-by-step explanation:

Given,

A camp having 80 inmates, has food  sufficient for 70 days.

total=80*70

How many inmates  should leave after 10 days so that the

remaining food lasts another 80 days?

the food served for 10 days to 80 inmates

10*80

let  x be inmates leave after 10 days food last for 80 days

(80-x)*80

Total=food served for 10 days+x  inmates left after 10 days

80*70=10*80+(80-x)*80

70=10+80-x

x=90-70

x=20

Answer 2

Question :- A camp having 80 inmates, has food sufficient for 70 days. How many inmates should leave after 10 days so that the remaining food lasts another 80 days ?

(A) 25

(B) 24

(C) 20

(D) 16

Solution :-

we know that,

• M1 * D1 = M2 * D2

given that,

• M1 = 80 inmates
• D1 = (70 - 10) = 60 days
• M2 = Let x inmates
• D2 = 80 days.

so,

→ 80 * 60 = x * 80

→ x = 60 inmates .

therefore,

→ Inmates should leave = 80 - 60 = 20 inmates (Ans.)

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