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Rajendra has 14 4/5 pounds of trail mix. He is putting them into bags that hold 1 1/2 pounds each. Does he have enough trail mix to completely fill 8 bags?

User Colapsnux
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2 Answers

2 votes
Rajendra does have enough trail mix to completely fill 8 bags, because 14 4/5 ÷ 1 1/2 = 9 13/15, which can actually fill more than 8 bags. Hope this helps! :D

~PutarPotato
User Debendra
by
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4 votes

Answer: Yes , Rajendra has enough trail mix to completely fill 8 bags.

Explanation:

Given : Total trail mix Rajendra has =
14(4)/(5) pounds

Convert
14(4)/(5) into improper fraction.


14(4)/(5)=((14)(5)+4)/(5)=(74)/(5)

Amount of mix in each bag =
1(1)/(2) pounds.


=(1(2)+1)/(2)=(3)/(2) pounds

Then, the total number of bags can be filled by the trail mix Rajendra has

= Total trail mix ÷ Amount of mix in each bag


=(74)/(5)/(3)/(2)


=(74)/(5)*(2)/(3)=(148)/(15)=9.86666666667\approx9

It means Rajendra has enough trail mix to fill 9 bags.

Since 9 > 8

Therefore , Rajendra has enough trail mix to completely fill 8 bags.

User Perishable Dave
by
7.6k points
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