( 9) A group of pupils played games during
recess. 1/2of them played ball games 1/5 of the remaining pupils played hide-and-seek and the rest played tag. 12 fewer pupils played hide-and-seek than tag. How many pupils played tag?
Answers
Answer:
Answer:
16 pupils played tag.
Step-by-step explanation:
What is asked?
How many pupils played tag?
What are given?
played ball games - ½ of the pupils
played hide and seek - ⅕ of the remaining pupils, 12 fewer pupils than tag
To find the number of pupils who played tag, we are just going to focus on the remaining pupils who didn't play the ball games and that is the half of the pupils.
We know that ⅕ of the remaining pupils played hide and seek so the remaining pupils played tag, which is ⅘.
The problem also stated that there were 12 fewer pupils played hide and seek than tag.
Solution:
Let x be the number of the remaining pupils.
⅕x for the pupils who played hide and seek.
⅘x for the pupils who played tag.
We represent the equation as: ⅘x - ⅕x = 12
⅘x - ⅕x = 12
⅗x = 12
⅗x÷⅗ = 12÷⅗
x = 20
The number of the remaining pupils is 20.
To find the number of pupils who played tag, get the ⅘ of 20.
⅘ • 20
= ⅘ • 20⁄1
= 80⁄5
= 16
16 pupils played tag.
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Answer:
16
Step-by-step explanation:
football player = 1/2 = 5/10 ( Let 5 U)
hide-and-seek player = 1/5 of remainder ( 1 U)
tag player = the rest pupils = 4/5 ( 4U)
tag player - tag player = 12
4U - 1U = 12
3U = 12
1U = 4
** tag player = 4U = 4x 4 =16