SOLUTION: A high school graduating class is made up of 379 students. There are 107 more girls than boys . How many boys are in the class ?

Algebra.Com
Question 1164058: A high school graduating class is made up of 379 students. There are 107 more girls than boys . How many boys are in the class ?
Found 3 solutions by Boreal, ikleyn, greenestamps:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
x boys
x+107 girls
sum is 2x+107=379
2x=272
x=136 boys. ANSWER
x+107=243 girls

Answer by ikleyn(52906)   (Show Source): You can put this solution on YOUR website!
.

    B + (B+107) = 379.

    2B = 379 - 107 = 272

     B             = 272/2 = 136 boys.    ANSWER

Solved.



Answer by greenestamps(13215)   (Show Source): You can put this solution on YOUR website!


With formal algebra....

Let x = number of boys
Then x+107 = number of girls

The total number in the class is 379:



Finish using basic algebra....

Informally, without algebra....

(1) Take away the "extra" 107 girls; that leaves 379-107 = 272 students, with equal numbers of boys and girls.
(2) So the number of boys is 272/2 = 136.

The problem only asked for the number of boys, so you are done.

Obviously, if they had asked also for the number of girls, it would be 136, plus the 107 that you took away earlier.


RELATED QUESTIONS

a high school graduating class is made up of 455 students. there are 67 more girls than... (answered by josgarithmetic)
a high school graduating class is made up of 455 students. there are 67 more girls than... (answered by Cromlix)
A high school graduating class is made up of 542 students. There are 156 more girls than... (answered by nerdybill)
A high school graduating class is made up of 345 students. There are 69 more girls than... (answered by nerdybill)
a high school graduating class is made up of 464 students. There are 208 more girls than... (answered by ewatrrr)
A high school graduating class is made up of 601 students. There are 91 more girls than... (answered by fcabanski)
A high school graduating class is made up of 485 students. There are 69 more girls than... (answered by flame8855)
A high school graduating class is made up of 576 students. There are 76 more girls than... (answered by dfrazzetto)
A high school graduating class is made up of 514 students. There are 108 more girls than... (answered by algebrahouse.com)