3/8 of the boys play cricket, 1/4 plat tennis and the other 135 play rugby. How many children are there in the school?(each child takes part in only one sport.)
(3/8)x + (2/8)x + 135 = x
To solve this problem, we need to use the information provided and find the common denominator among the fractions. Let's start with the given fractions:
3/8 of the boys play cricket.
1/4 play tennis.
The other 135 play rugby.
Let's assume there are 'x' boys in the school. We can then calculate the number of boys playing cricket:
(3/8) * x = (3x)/8
Similarly, the number of boys playing tennis:
(1/4) * x = (x)/4
Finally, the number of boys playing rugby:
x - [(3x)/8 + (x)/4] = 135
Now we can solve the equation to find the value of 'x,' which represents the total number of boys in the school.
Combining like terms:
x - (3x)/8 - (x)/4 = 135
To get rid of fractions, we'll multiply through by 8. This gives us:
8x - 2x - 2x = 135 * 8
Simplifying:
4x = 1080
To solve for 'x,' we divide both sides by 4:
4x/4 = 1080/4
x = 270
So, there are a total of 270 boys in the school. Since the question asks for the total number of children, we need to double this number (assuming an equal number of girls):
270 * 2 = 540
Therefore, there are a total of 540 children in the school.