Question

4. A hostel has enough food to feed 115 children for 88 days. After a week, 20 more children join
the hostel. For how many days will the remaining food Last ?​

Answer 1

Answer :

69

Explanation :

remaining days : 88 - 7 = 81

hence....

115 children eat in 81 days

135 children eat in y days...

now here.....

children ∞ 1/days....

x ∞ 1/y ( inverse proportion )

x1 : x2 : : y2 : y1 (compound ratio)

115 : 135 : : y2 : 81

pro of extremes = pro of means

115 × 81 = 135 × y2

y2 = 115 × 81 / 135

y2 = 69

hence....

no of days = 69

Answer 2

Answer:

remaining days : 88 - 7 = 81 so,

115 children eat in 81 days

135 children eat in x days

So here

children ∞ 1/days

x

$\infty$

1/x inverse proportion)

x1:x2::y2:y1 (compound ratio)

115: 135:: 2:81

product of extremes = product of means

115*81=135* x2

x2=115*81/135

x2=69

hence,

no of days = 69

Step-by-step explanation:

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