A camp needs 900kg of food for 40 campers to last for 20 days. For how many days, will 540 kg of food last for 30 campers?

The food will last for 16 days

Step-by-step explanation:

Proportions

We need to know how the variables depend on each other.

It's clear that:

The more campers, the more food the camp needs.

The more time, the more food the camp needs.

Therefore, the amount of food (F) is directly proportional to the number of campers (c) and the time (t).

This can be written as:

F = k.c.t

Where k is a constant that we'll be found by knowing the camp needs F=900 Kg of food for c=40 campers and t=20 days:

900 = k*40*20=800k

Thus:

k=9/8

And:

F = 9/8 c.t

We now need to find how many days will F=540 kg of food will last for c=30 campers. So we solve the equation for t:

t = 8/9 * F/c

t = 8/9 * 540/30

t = 16 days

The food will last for 16 days

7

step-by-step explanation:

3/6 chance

step-by-step explanation:

half of the nubers are odd numbers (1,3,5) which in that case if you would be told to simplify it would be 1/2