Mixed Word Problem6





In this page mixed word problem6 you can find the question as well as solution for this question with detailed explanation.Like this you can see every problems with detailed solution and explanation.

Question:

In three packets there were $ 13 ⅔ ,$ 25 ⅓  and $ 30 ⅙. The total amount in all the four packets is  $ 95. What is the amount in the fourth packet? 

Basic idea:

Here we have 3 amounts.But we have the sum of four amounts that is $95.Now we need to find the fourth amount.To solve this problem we have to add all the three amounts and we have to subtract this from $95.

Sum of amount <br> of three  packets  = 13 ⅔ +  25 ⅓  +  30 ⅙

Let "x"  be the amount of fourth packet

Remaining amount of fourth packet  = 95 - (13 ⅔ +  25 ⅓  +  30 ⅙)

                       = 95 - [(39+2)/3 +  (75+1)/3 + (180+1)/6

                       = 95 - [ 41/3 +76/3 + 181/6]

                       = 95 - [(41/3) x (2/2) + (76/3)x(2/2) + 181/6]

                       = 95 - [(82/6 + 152/6 +181/6)]

                       = 95 - [ (82+152+181)/6]

                       = 95 - [415/6]

                       = 95/1 - 415/6

                       = (95/1)  x (6/6) - 415/6

                       = (570/6)  - (415/6)

                       = (570-415)/6

                       = 155/6




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