A supply of food lasts 12 people 5 days.
A) how long will it last for 1 person?
B) how long will it last for 20 people?
****i have the answers for this. The answer to a is 60 and the answer to b is 3. I just can't figure out how that works out. I need some help with the logic of this please.
Think of it as money.
Suppose 12 friends have $5 each
how much total money would there be ? ...... $60
So if one person would get all that money, how much would he/she get? ..... $60
If you had to share all the money with 20 people, how much would each get ? ..... 60/20 = $3
What operations did we do?
Now instead of money we have food, ....
To solve this problem, we need to understand the relationship between the number of people and the duration the food supply will last. Let's break it down step by step:
Given:
- A supply of food lasts 12 people for 5 days.
A) How long will it last for 1 person?
To find out how long the food supply will last for one person, we need to consider that the total amount of food has to be distributed among fewer people. We can set up a proportion:
12 people ----> 5 days
1 person -----> x days
We can solve this proportion using cross-multiplication:
12 * x = 1 * 5
12x = 5
Now, divide both sides by 12 to solve for x:
x = 5/12
Therefore, the food supply will last for approximately 5/12 (0.4167) days for one person.
B) How long will it last for 20 people?
Similar to the previous question, we need to set up a new proportion:
12 people ----> 5 days
20 people -----> y days
Again, we can solve this proportion using cross-multiplication:
12 * y = 20 * 5
12y = 100
Divide both sides by 12 to solve for y:
y = 100/12
y = 8.33 ~ 8.33 days
Therefore, the food supply will last for approximately 8.33 days for 20 people.
It's important to note that in both cases, the duration of the food supply is not a whole number because the number of people is not directly proportional to the number of days the food will last.