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. Using compatible fractions, estimate how much heavier Ari's bag is compared to Juan's bag.
A) 1 and one-half pounds
B) 2 pounds
C) 6 pounds
D) 10 and one-half pounds
Answer:
B: approximately 2 pounds
Step-by-step explanation:
Juan’s bag weighed 31/7 pounds
Ari's bag weighed 19/3 pounds.
We are told to use compatible fractions to determine the difference. Thus we have to make sure the denominator is the same;
For Juan, let's multiply both numerator and denominator by 3 to get; 93/21 pounds
For Ari, let's multiply both numerator and denominator by 7 to get; 133/21
Thus, difference is;
(133/21) - (93/21) = 40/21
This gives;
1.9 pounds heavier
This is approximately 2 pounds
