Juan and Ari went to the farmers market to buy fruit. Juan’s bag of apples that he bought weighed 31/7 pounds. Ari’s bag of oranges that she bought weighed 19/3 pounds. About how much heavier is Ari’s bag than Juan’s bag?


A. 1 1/2 pounds
B. 2 pounds
C. 6 pounds
D. 10 1/2 pounds

Respuesta :

19/3 - 31/7.....LCD = 21
133/21 - 93/21 =
40/21 =
1 19/21 lbs.....closest answer is B...it is about 2 lbs


Answer:

Option: B is the correct answer.

                 B.   2 pounds.

Step-by-step explanation:

It is given that:

Juan’s bag of apples that he bought weighed 31/7 pounds.

Ari’s bag of oranges that she bought weighed 19/3 pounds.

Let Ari's bag be x times heavier than Juan's bag.

This means that:

[tex]x=\dfrac{19}{3}-\dfrac{31}{7}\\\\i.e.\\\\x=\dfrac{19\times 7-31\times 3}{21}\\\\i.e.\\\\x=\dfrac{133-93}{21}\\\\i.e.\\\\x=\dfrac{40}{21}\\\\i.e.\\\\x=1.904[/tex]

which is approximately equal to 2 pounds.

The amount by which Ari's bag is heavier then the Juan's Bag is approx : 2 pounds