Question

15. 600 soldiers in a fort had enough food for 14 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted for 30 more days. How many soldiers left the fort ?




solve in inverse variation​

Answer 1

Answer:

$400 \: soldiers$

Explanation:

$600 \: soldiers \: had \: enough \: food \: for \: 14 \: days. \\ </p><p></p><p> \: Let \: the \: numbers \: of \: soldiers \: left \: the \: fort</p><p> \: be \: x \\ </p><p></p><p>After \: 4 \: days, \: for \: 600 \: soldiers \: food \: would \: </p><p>last \: for \: \\ (144) \: = 10 \: days. \\ \\ food \: lasted \: for \: 30 \: days \\ \\ </p><p></p><p>By \: inverse \: proportion \: \\ \\ </p><p></p><p>→600 \times 10 = (600 \: – \: x) × 30</p><p></p><p> \\ ⇒ 600 = 1800 - 3x \\ </p><p></p><p>⇒ 3x = 1200 \\ </p><p></p><p>⇒x=400$

Hope it helps! :)

Please forgive these ( < / p ) symbols

There's a glitch otherwise my answer is correct.