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Mr.Lopez has 24 more books than Mrs.Hill if the ratio of their books is 7:4 how many books does Mrs. Hall have?

Sagot :

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