During summer vacation, c children went to different destinations with their parents. 36% of the children went to Europe and 24 children to Asia. The rest of the children went to South America. How many children went to South America?
To find out how many children went to South America, we need to first calculate the total number of children.
We are given that 36% of the children went to Europe. Let's represent the total number of children as x. So, 36% of x went to Europe.
36% of x = (36/100) * x
We know that 24 children went to Asia. So, we can write the equation:
(36/100) * x + 24 = x
To solve for x, we can simplify the equation:
36x/100 + 24 = x
Next, we can multiply the equation by 100 to remove the fraction:
36x + 2400 = 100x
Now, we can subtract 36x from both sides:
2400 = 100x - 36x
Simplifying further gives:
2400 = 64x
Dividing both sides by 64 gives:
2400/64 = x
x = 37.5
Since the number of children should be a whole number, we can round x to the nearest whole number. Therefore, the total number of children is 38.
Now, to find the number of children who went to South America, we can subtract the number of children who went to Europe and Asia from the total number of children:
Number of children who went to South America = Total number of children - Number of children who went to Europe - Number of children who went to Asia
Number of children who went to South America = 38 - (36/100) * 38 - 24
Number of children who went to South America = 38 - (36/100) * 38 - 24
Number of children who went to South America = 38 - 13.68 - 24
Number of children who went to South America = 38 - 13.68 - 24
Number of children who went to South America = 38 - 13.68 - 24
Number of children who went to South America ≈ 38 - 14 - 24 ≈ 38 - 38 ≈ 0
Therefore, no children went to South America.
To find out how many children went to South America, we first need to determine the total number of children who went on vacation.
Let's represent the total number of children who went on vacation as "c".
We are given that 36% of the children went to Europe. This means that 36% of c children went to Europe, which can be expressed as 0.36c.
We are also given that 24 children went to Asia.
To find the number of children who went to South America, we need to subtract the number of children who went to Europe and Asia from the total number of children who went on vacation.
So, the number of children who went to South America can be calculated as:
Number of children who went to South America = Total number of children - Number of children who went to Europe - Number of children who went to Asia
Number of children who went to South America = c - 0.36c - 24
Simplifying, we get:
Number of children who went to South America = 0.64c - 24
Since this value represents the number of children who went to South America, we can set it equal to "x" (or any other variable) as follows:
0.64c - 24 = x
Therefore, the number of children who went to South America is given by the equation 0.64c - 24 = x.
Europe: .36c
Asia: 24
S America: c - .36c - 24 = .64c-24
Without some further information it is not possible to find a numeric value for c.