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Question

Alec read 2/5 of a novel in the morning. After reading 1/6 of the remainder in the afternoon, he still had 170 more pages to read. Find the total number of pages in the novel.

 

Answer

Alec read 2/5 of a novel in the morning. After reading 1/6 of the remainder in the afternoon, he still had 170 more pages to read. Find the total number of pages in the novel.

1 – 2/5 = 3/5 = 6/10 (remainder)
(1/6) x (3/5) =1/10 (afternoon)
2/5 = 4/10 (morning)
1 – (1/10) – (4/10) = 5/10 ——- 170

10/10 ——- 170 x 2 = 340
or
1/10 ——- 34
10/10 ——- 340

Ans : 340 pages.

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        MORNING          AFTERNOON         LEFT        TOTAL

               2u                                                 3u                         5u

                                                  1                            5                   6

                 12u                           3u                          15u               30u

 

                                        15u=170

                                         1u=170/15=34/3

                                            30u=34/3 x 30=340 (ANS)

                                       The 1 unit may not be a whole number but the total would

                                        be so,don’t stop if you find a remainder 

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Alternatively,

1 – 2/5 = 3/5 = 6/10 (remainder)
(1/6) x (3/5) =1/10 (afternoon)
2/5 = 4/10 (morning)
1 – (1/10) – (4/10) = 5/10 ——- 170

10/10 ——- 170 x 2 = 340
or

1/10 ——- 34
10/10 ——- 340

Ans : 340 pages.

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Morning -> 2/5

Remain -> 5/5 – 2/5 = 3/5

Afternoon -> 1/6 x 3/5 = 1/10

Remain -> 3/5 – 1/10 = 5/10 = 1/2

1/2 = 170

2/2 = 340

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