rennie012
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Rodney bought a 25- pound bag of dog food . His dog ate 10 2/5 pounds of the food in the first month and 10 4/5 pounds of the food in the second month. How much dog food , in pounds, was remaining in the bag at the end of the two months ? Show your work ..... How many pounds

Respuesta :

10 2/5+10 4/5=21 1/5   25-21 1/5=3 4/5

there is 3 and 4/5 pounds left
kudzordzifrancis
ANSWER
The bag of dog food remaining is

[tex]3 \frac{4}{5} \: pounds[/tex]

EXPLANATION

The bag of dog food bought is

[tex] = 25 \: pounds[/tex]

The quantity consumed in the first month is
[tex] = 10 \frac{2}{5} \: pounds[/tex]

[tex] = \frac{52}{5} \: pounds[/tex]


The quantity consumed in the second month is

[tex] =10\frac{4}{5} \: pounds[/tex]

[tex] = \frac{54}{5} \: pounds[/tex]
The total quantity consumed is
[tex] = \frac{52}{5} + \frac{54}{5} [/tex]


[tex] = \frac{106}{5} pounds[/tex]


The quantity remaining can be calculated by subtracting the quantity consumed from the original quantity.


Quantity of dog food remaining is
[tex] = 25 - \frac{106}{5} [/tex]
[tex] = \frac{25}{1} - \frac{106}{5} [/tex]
We collect LCM to get,
[tex] = \frac{125 - 106}{5} [/tex]


[tex] = \frac{19}{5} [/tex]

[tex] = 3 \frac{4}{5} \: pounds[/tex]

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