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 ?

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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) About Me  (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(52905) About Me  (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) About Me  (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:

x%2Bx%2B107+=+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.