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Answer:
Number of books with Mrs. Hall = 32
Step-by-step explanation:
Suppose that Mrs. Hill has [tex]x[/tex] books.
Also, Mr. Lopez has 24 more books than Mrs. Hill.
So,
Number of books with Mr. Lopez = [tex]x+24[/tex]
Ratio of their books = [tex]7:4[/tex]
Therefore,
[tex]\frac{x+24}{x}=\frac{7}{4}\\\\4(x+24)=7x\\\\4x+96=7x\\\\96=3x\\x=\frac{96}{3}\\\\x=32[/tex]
Number of books with Mrs. Hall = 32