Which scenario matches the given expression?

Question

-3/4 dived by -1/4

A. Linda has blue and yellow ribbons on her desk. The blue ribbon is 3/4 of a meter long, and the yellow ribbon is 1/4 of a meter long. How many times longer is the blue ribbon than the yellow ribbon?
B. Submarine A can descend to a depth of 3/4 of a kilometer below sea level. Submarine B can descend to a depth of 1/4 of a kilometer below sea level. How many times deeper can submarine A descend than submarine B?
C. Bruce has 3/4 of a cup of chopped tomatoes. He used 1/4 of it for an omelette. What quantity of chopped tomatoes does he have left?
D. Mr. Margolis needs to dig a hole for a fence support 3/4 of a meter deep. He has already dug 1/4 of a meter. How many more meters does he need to dig?

Answer 1

The expression \(-\frac{3}{4} \div -\frac{1}{4}\) represents dividing one negative quantity by another negative quantity, which is essentially finding how many times one quantity fits into another.

Out of the given scenarios, the one that matches the expression is:

B. Submarine A can descend to a depth of 3/4 of a kilometer below sea level. Submarine B can descend to a depth of 1/4 of a kilometer below sea level. How many times deeper can submarine A descend than submarine B?

This scenario directly involves comparing how many times the depth that Submarine A can reach (3/4 km) is greater than the depth that Submarine B can reach (1/4 km), which corresponds to the calculation of \(-\frac{3}{4} \div -\frac{1}{4}\).