Question

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

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

Enter your answer in the box.

Answer 1

`x = (12)/(7)\ books`

Explanation:

Given

`3\ books = 1(3)/(4)\ weeks`

Required

Number of books in 1 week

Represent the number of books in 1 week with x.

So, we have:

`3\ books = 1(3)/(4)\ weeks`

`x = 1\ week`

Cross Multiply

`x * 1(3)/(4) = 3 * 1`

`x * 1(3)/(4) = 3`

Convert fraction to improper fraction

`x * (7)/(4) = 3`

Multiply through by
`(4)/(7)`

`x * (7)/(4)*(4)/(7) = 3 * (4)/(7)`

`x = 3 * (4)/(7)`

`x = (12)/(7)\ books`

Hence: 12/7 books were read in a week