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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?

Respuesta :

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
JeanaShupp

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

Step-by-step explanation:

Given : Total trail mix Rajendra has = [tex]14\dfrac{4}{5}[/tex] pounds

Convert [tex]14\dfrac{4}{5}[/tex]  into improper fraction.

[tex]14\dfrac{4}{5}=\dfrac{(14)(5)+4}{5}=\dfrac{74}{5}[/tex]

Amount of mix in each bag = [tex]1\dfrac{1}{2}[/tex] pounds.

[tex]=\dfrac{1(2)+1}{2}=\dfrac{3}{2}[/tex] 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

[tex]=\dfrac{74}{5}\div\dfrac{3}{2}[/tex]

[tex]=\dfrac{74}{5}\times\dfrac{2}{3}=\dfrac{148}{15}=9.86666666667\approx9[/tex]

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.

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