Question

Gillian wrote a 10 page report on the florida everglades in 3 days. on the first day, she wrote 31/2 pages. on the second day she wrote 4 1/3 pages. how many pages did she write on the third day?

Answer 1

The number of pages Gillian wrote on the third day is
`2(1)/(6)` pages

Explanation:

Given

Number of days = 3 days

Pages of report = 10 pages

First day = 3½ pages

Second day = 4⅓ pages

Required

Number of pages written on the third day.

Let the number of pages written on the first, second and the third day be represented with F, S and T respectively.

So,

F = 3½ pages

S = 4⅓ pages

From the given data, we have that the report was 10 pages.

Hence,

F + S + T = 10 pages

F + S + T = 10

By substitution, we have

3½ + 4⅓ + T = 10

Convert mixed fractions to equivalent improper fraction.

`(7)/(2) + (13)/(3) + T = 10`

Add fractions

`(21 + 26)/(6) + T = 10`

`(47)/(6) + T = 10`

Make T the subject of formula

`T = 10 - (47)/(6)`

Subtract

`T = (60 - 47)/(6)`

`T = (13)/(6)`

`T = 2(1)/(6)`

Recall that T represent number of pages written on the third day.

Hence, the number of pages Gillian wrote on the third day is
`2(1)/(6)` pages