Question

Jackson high school accepted 11 more transfer students last year than Adams High. Combined, the two schools accepted 123 transfer students. determine the number of transfer students accepted by each school

Answer 1

Let $x$ be the number of transfers accepted by Adams High.

The number of transfers accepted by Jackson high school is 11 more than Adams High's, so it's $x+11$

The two schools, combined, accepted $x+x+11=2x+11$ transfers. We know that this number is 123, so we have

$2x+11=123 \iff 2x = 112 \iff x = 56$

So, Adams High accepted 56 transfers, and Jackson high school accepted 56 + 11 = 67 transfers