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 $1^{st}$ day of the tournament?

• A. 25
• B. 32
• C. 40
• D. 24

Answer 1

The correct option is D 24

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

So, the number of fish caught on each day will be:
$1^{st}$ day = f
$2^{nd}$ day = f + 8
$3^{rd}$ day = (f + 8) + 8 = f + 16
$4^{th}$ day = (f + 16) + 8 = f + 24
$5^{th}$ 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
$\Rightarrow f=\frac{120}{5}$
⇒ f = 24

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