Question

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

Answer 1

ANSWER
The bag of dog food remaining is

$3 \frac{4}{5} \: pounds$

EXPLANATION

The bag of dog food bought is

$= 25 \: pounds$

The quantity consumed in the first month is
$= 10 \frac{2}{5} \: pounds$

$= \frac{52}{5} \: pounds$


The quantity consumed in the second month is

$=10\frac{4}{5} \: pounds$

$= \frac{54}{5} \: pounds$
The total quantity consumed is
$= \frac{52}{5} + \frac{54}{5}$


$= \frac{106}{5} pounds$


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


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


$= \frac{19}{5}$

$= 3 \frac{4}{5} \: pounds$

Answer 2

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

there is 3 and 4/5 pounds left