This table shows the numbers of students in different classes that are in the math club.
Students in math club
Boys / Girls
Mrs.Smith 3 / 4
Ms.Jones 4 / 6
Mr.Brown 3 / 4
a. What fraction of the students in the math club are boys from Mrs. Smith’s class?
b. What fraction of the students in the math club are girls?
c. Some more girls joined the math club, but no more boys joined. The number of girls in the math club is now 23 of the total number of members. How many more girls joined the math club? Show your work or explain how you know.
3/7
7+10+7 = 24 total students
14 are girls
so
14/24 = 7/12
suspect you mean 2/3 are girls
(14+x) /(24+x) = 2/3
42 + 3 x = 48 + 2x
x = 6 more girls
a. is actually 3 / 24 because if I recall the problem says what fraction of the students in the math club are boys from Mrs.Smith class.So won't it be Mrs.Smith boys to all of the class.
Rodger is right
c. there was 14 girls to start with so wouldn't you subtract 14 from 23 and get 9.
I think you added 6 girls and get 20 out of 30
oh, I assumed that the 23 was a typo and it meant 2/3
a. To find the fraction of the students in the math club that are boys from Mrs. Smith's class, you need to know the total number of students in Mrs. Smith's class and the total number of students in the math club. Looking at the table, we can see that there are 3 boys from Mrs. Smith's class and a total of 14 students in the math club (adding up the boys and girls in each row). Therefore, the fraction of the students in the math club that are boys from Mrs. Smith's class is 3/14.
b. To find the fraction of the students in the math club that are girls, you need to know the total number of girls in the math club and the total number of students in the math club. Looking at the table, we can see that there are 4 girls from Mrs. Smith's class, 6 girls from Ms. Jones's class, and 4 girls from Mr. Brown's class, making a total of 14 girls in the math club. Since there are 14 students in the math club in total (as we calculated earlier), the fraction of the students in the math club that are girls is also 14/14, which simplifies to 1.
c. Initially, the total number of girls in the math club was 14 (as calculated in part b). If the number of girls in the math club is now 23, then the additional number of girls that joined is 23 - 14 = 9.