Question

Jack needs 222,222 pirates for every 222 pirate ships he manages. Complete the table using equivalent ratios.

a) 555 pirates for 5 ships.
b) 111,111 pirates for 222 ships.
c) 5 pirates for 555 ships.
d) 10 pirates for 1 ship.

Answer 1

To solve the problem involving equivalent ratios for pirates and ships, the simplified ratio of 1,002:1 was used, and the corresponding number of pirates was calculated for each given number of ships, except for part c which seems to contain an error.

Step-by-step explanation:

The subject of the question is Mathematics, and it involves working with equivalent ratios. A ratio is a way to compare two quantities by division, and an equivalent ratio is when two ratios express the same relationship between numbers, even if the actual numbers are different.

For the given ratio of 222,222 pirates to 222 pirate ships, we can simplify it to 1,002 pirates to 1 pirate ship by dividing both numbers by 222.

1. a) For 5 ships, the equivalent number of pirates would be 1,002 pirates × 5 ships = 5,010 pirates.
2. b) For 222 ships, we can revert to the original ratio since it's already provided: 111,111 pirates.
3. c) For 555 ships, the equivalent number of pirates would be an over-estimation since the ratio given does not scale down linearly. We disregard this part of the question as it seems to have a typo or error.
4. d) For 1 ship, using the simplified ratio, the equivalent number of pirates would be 1,002 pirates.

As a quick note, the student's question part c appears to have either a typo or an irrelevant ratio. The pattern seen in the other parts of the question does not logically extend to having fewer pirates than ships, in this scenario.