At the beginning of the year, 1/2 of the seniors at a high school signed up for the debate club. By the end of the year, 7 of the seniors had to quit due to other commitments, leaving 18 members in the club. How many seniors are there at the high school?

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wagonbelleville wagonbelleville · Answer 1 · 2019-02-25T09:25:00+01:00

Answer:

There are 50 seniors in the school.

Step-by-step explanation:

Let the number of seniors in the school = x

It is given that, 'Initially [tex]\frac{1}{2}[/tex] of the seniors signed up for the club'.

So, the number of seniors in the club = [tex]\frac{x}{2}[/tex]

Further, 7 seniors left the club at the end of the year and total 18 people were left in the club.

So, we get the relation,

[tex]\frac{x}{2}-7=18[/tex]

i.e. [tex]\frac{x}{2}=18+7[/tex]

i.e. [tex]\frac{x}{2}=25[/tex]

i.e. x= 25 × 2

i.e. x = 50

Thus, there are 50 seniors in the school.

parmesanchilliwack parmesanchilliwack · Answer 2 · 2019-02-25T13:42:32+01:00

Answer: 50

Step-by-step explanation:

Let the initial number of the senior member at a high school = x

According to the question,

The senior member who signed up for the debate club = [tex]\frac{x}{2}[/tex]

Thus, When 7 of the seniors had to quit the club, then the remaining number of senior members = [tex]\frac{x}{2}-7[/tex]

Again according to the question,

[tex]\frac{x}{2}-7=18[/tex]

[tex]\implies \frac{x}{2}=25[/tex]

[tex]\implies x = 50[/tex]

Hence, There are 50 senior members at the high school.