In a zoo, the ratio of adults to children is 3
to 12
. If there are 255
people in the zoo, how many children are there?
The ratio of adults to children is 3:12, which can be simplified to 1:4 by dividing both sides by 3.
So for every 1 adult, there are 4 children.
Let the number of adults be x. Then the number of children is 4x.
We know that the total number of people in the zoo is 255:
x + 4x = 255
5x = 255
x = 51
So there are 51 adults and 4x = 4(51) = 204 children in the zoo.
To find the number of children in the zoo, we first need to determine the ratio between adults and children. In this case, the ratio is given as 3 to 12.
Step 1: Calculate the total number of parts in the ratio
The total number of parts in the ratio is 3 + 12 = 15.
Step 2: Divide the total number of people by the number of parts in the ratio
Dividing the total number of people in the zoo, which is 255, by the total number of parts in the ratio, which is 15, gives us 255 / 15 = 17.
Step 3: Multiply the number of parts representing children by the result from Step 2
Since there are 12 parts representing children in the ratio, we multiply 12 by 17, which gives us 12 * 17 = 204.
Therefore, there are 204 children in the zoo.