Final answer:
Mr. Fabian caught a total of 16750 fishes over the week by catching 5000 on Monday, 3000 on Tuesday, 5250 on Wednesday, and 3500 on Thursday, and resting on Friday.
Step-by-step explanation:
The student has asked how many fishes Mr. Fabian caught in total over the course of a week, given his catch on Monday and the varying amounts caught on the subsequent days in relation.
Let's calculate it step by step:
Monday: Mr. Fabian caught 5000 fishes.
Tuesday: He caught 2/5 fewer fishes than on Monday, which is 5000 - (2/5 * 5000)
= 5000 - 2000
= 3000 fishes.
Wednesday: He caught 3/4 more than Tuesday, which is 3000 + (3/4 * 3000)
= 3000 + 2250
= 5250 fishes.
Thursday: He caught 1/3 fewer than on Wednesday, which is 5250 - (1/3 * 5250)
= 5250 - 1750
= 3500 fishes.
To find the total, we add the number of fishes caught each day: 5000 + 3000 + 5250 + 3500 = 16750 fishes in total.
Mr. Fabian rested on Friday, so no fishes were caught that day. Therefore, the total catch for the week is 16750 fishes.