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Marcos reads 3, books in 1 3/4 weeks.

At this rate, how many books does Marcos read in1 week?

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Sagot :

Answer:

[tex]x = \frac{12}{7}\ books[/tex]

Step-by-step explanation:

Given

[tex]3\ books = 1\frac{3}{4}\ weeks[/tex]

Required

Number of books in 1 week

Represent the number of books in 1 week with x.

So, we have:

[tex]3\ books = 1\frac{3}{4}\ weeks[/tex]

[tex]x = 1\ week[/tex]

Cross Multiply

[tex]x * 1\frac{3}{4} = 3 * 1[/tex]

[tex]x * 1\frac{3}{4} = 3[/tex]

Convert fraction to improper fraction

[tex]x * \frac{7}{4} = 3[/tex]

Multiply through by [tex]\frac{4}{7}[/tex]

[tex]x * \frac{7}{4}*\frac{4}{7} = 3 * \frac{4}{7}[/tex]

[tex]x = 3 * \frac{4}{7}[/tex]

[tex]x = \frac{12}{7}\ books[/tex]

Hence: 12/7 books were read in a week

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