More or less food?

Algebra Level pending

In a fort,300 men had provisions for 90 days.After 20 days,50 men left the fort.How long would the food last at the same rate?

77 days 81 days 72 days 84 days

Shruthi Srinivasan by shruthi srinivasan , 13, India

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2 solutions

Aryan Sanghi
Jun 29, 2020

Total food = 300 × 90 300×90

Food left after 20 days = 300 × 90 − 300 × 20 = 300 × 70 300 × 90 - 300×20 = 300 × 70

Men left = 300 − 50 = 250 300 - 50 = 250

Number of days food will last = 300 × 70 250 \frac{300 × 70}{250}

A n s w e r = 84 d a y s \boxed{Answer = 84 days}

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The remaining food is sufficient for 300 men for 90-20 days=70 days

Remaining number of men=300-50=250

So,let the remaining food will be sufficient for 250 men be y days.

Number of men|| 300 || 250 ||

Number of days|| 250 || y ||

Less men will have food for more days. This is inverse proportion.

300 x 70 = 250 x y

300 x 70 = 21000

21000÷250=84

The number of days is 84.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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