In a camp ,there is a meal for 120 men or 200 children . if 150 children have taken the meal, how many men will be catered to with remaining meal
Let x = food or meal
Thus the share of each men is x/120.
And the share of each children in x/200.
It was said in the problem that 150 children took the meal, so the total meal taken by these children is number of children multiplied by the share of each:
150 * x/200 = 3x / 4 = 0.75x
There are x meals total, so the remaining is
x - 0.75x = 0.25x
Divide this by the share of each men to get the number of men that can consume the remaining meal:
0.25x / (x/120) = 30 men
hope this helps~ `u`
To find out how many men will be catered to with the remaining meal, we first need to determine the ratio of men to children in terms of the meals provided.
The ratio of men to children is given as 120:200, which can be simplified to 6:10 or 3:5 by dividing both sides by 40.
Then, we can calculate the number of meals required for 150 children by setting up a proportion:
3 (meals required for men) : 5 (meals required for children) = x (meals required for 150 children) : 150 (number of children)
We can solve this proportion by cross-multiplying:
3 * 150 = 5 * x
450 = 5x
To find the value of x, we divide both sides by 5:
450 / 5 = x
90 = x
Therefore, meals required for 150 children would be 90.
Now, we can calculate the meals remaining by subtracting the meals provided for 150 children from the total meals provided:
200 - 90 = 110
So, there will be 110 remaining meals. Since each meal is for a man, this means the remaining meals will cater to 110 men.