Question

108 kg of ration is sufficient for 18 students for 15 days find for how many students will 70 kg of ration be sufficient for 25 days​

Answer 1

Answer:

7 students

Step-by-step explanation:

Quantity of ration available = 108 kg

No. of days = 15 days

No. of students = 18

No. of days this ration will go for 1 student = 18 x 15 days

                                                                       = 270 days

Quantity of ration used by 1 student in 1 day = 108/270 kg

                                                                         = 0.4 kg

Quantity of ration required for 1 student for 25 days = 25 x 0.4 kg

                                                                                       = 10 kg

No.of students for whom 70 kg of ration will be sufficient for 25 days = 70/10

= 7 students

Answer 2

Answer:

70 kg of ration is sufficient for 7 students for 25 days

Step-by-step explanation:

Given as :

108 kg of ration is sufficient for 18 students for 15 days

And

70 kg of ration is sufficient for x students for 25 days

According to question

$\dfrac{men\times days}{work}$  = constant

$\dfrac{m_1\times d_1}{w_1}$  = $\dfrac{m_2\times d_2}{w_2}$

Or, $\dfrac{18\times 15}{108}$  = $\dfrac{x\times 25}{70}$

Or, $\dfrac{15}{6}$ =  $\dfrac{5x}{14}$

cross multiplication

i.e  15 × 14  = 5 x × 6

Or, x = $\dfrac{14}{2}$

∴   x = 7

So, 70 kg of ration is sufficient for 7 students for 25 days

Hence, 70 kg of ration is sufficient for 7 students for 25 days . Answer