SOLUTION: Seven-twelths of the studens in our school are girls, and the rest are boys. How many girls are in our school ? Answer___________ . Then there is a table with missing answer's (

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Seven-twelths of the studens in our school are girls, and the rest are boys. How many girls are in our school ? Answer___________ . Then there is a table with missing answer's (      Log On


   

Question 714416: Seven-twelths of the studens in our school are girls, and the rest are boys. How many girls are in our school ? Answer____________.
Then there is a table with missing answer's (the question marks represent missing answers that they are looking for, I need help trying to fill in the blanks in this case the question mark's. Please and thank you.

----------------- Fraction Family -----Ratio------- Actual Numbers
Girls--------------------7/12--------------?--------------?
Boys ---------------------?---------------?--------------210
Students------------------?---------------?--------------?
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
----------------- Fraction Family -----Ratio------- Actual Numbers
Girls--------------------7/12--------------?--------------?
Boys ---------------------?---------------?--------------210
Students------------------?---------------?--------------?

The table suggests that the actual number of boys was also given in the problem description, being 210 boys.

The "Students" as a fraction would need to be 12%2F12, and the fraction as girls was given as 7%2F12, which you have indicated also in the table. Assuming that the missing fraction for boys participates in the students as 7%2F12%2Bm=12%2F12, we should expect that m=5%2F12.

The chart should be given the data,
----------------- Fraction Family -----Ratio------- Actual Numbers
Girls--------------------7/12--------------?--------------?
Boys ---------------------5/12---------------?--------------210
Students------------------12/12---------------?--------------?

"Ratio" is not described, so this solution will not include information in that column.

"Actual Numbers" should be taken from the fractions, all now known. The actual ratio of girls to boys is, according to the now known fractions, 7:5. You KNOW the number of boys is 210, so how many actual count of girls are in the school?
7%2F5=g%2F210, here, I'm just using g as a variable to mean the number of girls. Multiply left side and right side by 210. That gives you g, the number of girls.

How many actual number of students? g%2B210.