Question

Juan and Ari went to the farmers market to buy fruit. Juan's bag of apples that he bought weighed StartFraction 31 over 7 EndFraction pounds. Ari's bag of oranges that he bought weighed StartFraction 19 over 3 EndFraction pounds. Using compatible fractions, estimate how much heavier Ari's bag is compared to Juan's bag. 1 and one-half pounds 2 pounds 6 pounds 10 and one-half pounds

Answer 1

B. 2 pounds

Explanation:

Answer 2

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

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