Question

A military camp had provision for soap for 120 soldiers for 36 days.After6 days 20 soldiers left the camp how long will the soap last

Answer 1

Answer:

★Soap will last after 36 days★

Step-by-step explanation:

Given:

• Number of soldiers 120
• Number of days 36
• After 6 days 20 soldiers left

To Find:

• In how many days soap will last

Solution : Number of soldiers after they left the camp = 120 – 20 = 100 Soldiers

† Let the remaining days be x days. If not any soldier would have left after 6 days then the soaps would have lasted for 36-6= 30days †

∴ 100:120 = 30 : x

→ $\large{\sf {\frac{1</strong><strong>0</strong><strong>0</strong><strong>}{</strong><strong>1</strong><strong>2</strong><strong>0</strong><strong>}}}$ = $\large{\sf {\frac{</strong><strong>3</strong><strong>0</strong><strong>}{</strong><strong>x</strong><strong>}</strong><strong>}}$

By cross multiplication

→ 100x = 3600

→ x = $\large{\sf {\frac{</strong><strong>3</strong><strong>6</strong><strong>0</strong><strong>0</strong><strong>}{</strong><strong>1</strong><strong>0</strong><strong>0</strong><strong>}}}$

→ x = 36

Hence, The soap will last after 'x' days = 36 days