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Question

In a fishing tournament, Jamie caught a total of 200 fish in 5 days.

The number of fish caught on each day was 8 more than the day before.

Find how many fish did Jamie catch on the 1st day of the tournament?

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Solution

The correct option is **D** 24

Let the total number of fish caught by Jamie on the 1st day of the tournament be 'f'.

So, the number of fish caught on each day will be:

1st day = f

2nd day = f + 8

3rd day = (f + 8) + 8 = f + 16

4th day = (f + 16) + 8 = f + 24

5th day = (f + 24) + 8 = f + 32

Total number of fish caught in five days = 200

So, arranging the equation, we get:

f + f + 8 + f + 16 + f + 24 + f + 32 = 200

⇒ 5f + 80 = 200

⇒ 5f = 200 – 80

⇒ 5f = 120

⇒ f=1205

⇒ f = 24

Thus, Jamie caught 24 fish on the first day of the tournament.

Let the total number of fish caught by Jamie on the 1st day of the tournament be 'f'.

So, the number of fish caught on each day will be:

1st day = f

2nd day = f + 8

3rd day = (f + 8) + 8 = f + 16

4th day = (f + 16) + 8 = f + 24

5th day = (f + 24) + 8 = f + 32

Total number of fish caught in five days = 200

So, arranging the equation, we get:

f + f + 8 + f + 16 + f + 24 + f + 32 = 200

⇒ 5f + 80 = 200

⇒ 5f = 200 – 80

⇒ 5f = 120

⇒ f=1205

⇒ f = 24

Thus, Jamie caught 24 fish on the first day of the tournament.

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