Question 1176305
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The two solutions you have received so far both use 1200 as the total number of students.  The problem says the 1200 is the number of boys....<br>
Let x be the number of girls; then the total number of students is 1200+x.<br>
50% of the boys plus 40% of the girls is equal to 46% of the total number of students:<br>
{{{.50(1200)+.40(x) = .46(1200+x)}}}
{{{600+.40x = 552+.46x}}}
{{{48 = .06x}}}
{{{x = 48/.06 = 800}}}<br>
ANSWER: there are 800 girls in the school.<br>
CHECK:
.50(1200)+.40(800) = 600+320 = 920
.46(1200+800) = .46(2000) = 920<br>