Answer: 120
Step-by-step explanation:
[tex]\frac{1}{4}g=16[/tex] because one fourth of the total girls is 16
[tex]\frac{1}{8}b=7[/tex] because one eighth of the total boys is 7
Solve for g and b;
[tex]\frac{1}{4}g=16[/tex]
Multiply by the reciprocal of one fourth which is four over one or four.
[tex]4*\frac{1}{4}g=16*4\\ g=64[/tex]
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[tex]\frac{1}{8}b=7[/tex]
Do the same.
[tex]8*\frac{1}{8}b=7*8[/tex]
[tex]b=56[/tex]
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Add both numbers.
64+56=120 students.