There was a surge in math club membership after the fun Halloween party. When the principal asked Mrs. Germain how many students were currently in the club, she replied, "Three times our number plus a third of our number plus a fourth of our number plus you and me is two hundred sixty."
The principal smiled and nodded, then added, "If you can pick up another eight students before your Christmas party you will have exactly 10% of the student body involved in the club."
How many students are enrolled in the math club? How many students are in the school?
Be sure to explain how you found your answer.
Please help thanks
2 answers
Please do not keep spamming this board with this post. Be patient until a math tutor can help you.
Simply translate the English into Math, (Mathematics is a language)
"Three times our number plus a third of our number plus a fourth of our number plus you and me is two hundred sixty."
let "our number" be x
3x + (1/3)x + (1/4)x + 1 + 1 = 260
3x + (1/3)x + (1/4)x = 258
x(3 + 1/3 + 1/4) = 258
(43/12)x = 258
x = 258(12/43) = 72
so .....
2nd part:
so after picking up 8 more, they would have 80 in the club
If that is 10% of the student body, how many students were there in total ???
"Three times our number plus a third of our number plus a fourth of our number plus you and me is two hundred sixty."
let "our number" be x
3x + (1/3)x + (1/4)x + 1 + 1 = 260
3x + (1/3)x + (1/4)x = 258
x(3 + 1/3 + 1/4) = 258
(43/12)x = 258
x = 258(12/43) = 72
so .....
2nd part:
so after picking up 8 more, they would have 80 in the club
If that is 10% of the student body, how many students were there in total ???
2 answers