a fisherman caught 385 fish in a 14 day tournament. Each day he caught 3 more fish than he did the day before. How many fish did he catch each individual day?
2006-11-08 07:42:21 · 12 answers · asked by Phyto12 2 in Science & Mathematics ➔ Mathematics
Let's denote the number of fish he caught on day 1 as x. Thus, here are the totals for each day:
day 1 = x
day 2 = x+3
day 3 = x+6
day 4 = x+9
day 5 = x+12
day 6 = x+15
day 7 = x+18
day 8 = x+21
day 9 = x+24
day 10 = x+27
day 11 = x+30
day 12 = x+33
day 13 = x+36
day 14 = x+39
Adding these together will get you the total fish = 385. Solving, you get:
14x + 273 = 385
Solving, you get x = 8
Thus, these are the totals he caught each day:
day 1 = 8
day 2 = 11
day 3 = 14
day 4 = 17
day 5 = 20
day 6 = 23
day 7 = 26
day 8 = 29
day 9 = 32
day 10 = 35
day 11 = 38
day 12 = 41
day 13 = 44
day 14 = 47
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Hope this helps
2006-11-08 07:44:24 · answer #1 · answered by JSAM 5 · 2⤊ 0⤋
The way I go about a problem like this is to start with the 3 more caught on the second day, and then add up all of the gains. This leaves you with the baseline number of fish to be divided by all 14 days. So, Adding the three from the second day, plus the 6 from the third, and so on you come up with a total of 273 fish from the daily gains, leaving 112 baseline, which divided by the 14 days leaves eight for the first day, 11 for the second, 14 for the third, and so on.
2006-11-08 15:54:47 · answer #2 · answered by Deirdre H 7 · 0⤊ 0⤋
if x is the catch from day 1:
14*x+ 3*(1+2+3+....+13)=385
14*x +3*91 = 385
x= (385-273)/14=112/14=8
Answer:
Day 1 = 8 catches
Day 2 = 11catches
etc
2006-11-08 15:52:49 · answer #3 · answered by Claude J 2 · 0⤊ 0⤋
I say 9 fish per day. Because he caught 27.5 fish per day if you divide 385/14. But then to get the x+3 factor you have to divide the 27.5/3=9.16
2006-11-08 15:53:47 · answer #4 · answered by stick man 6 · 0⤊ 0⤋
x+[x+3]+[x+6].....[x+39]
14x+3+6+9+12+15+18+21+24+27+30+33+36+39 or
FORMULA a=3 n = 14
nx + [ (an(n-1)) / (a-1) ] Sequence summation
nx + [ (3n*(n-1))/2 ]
14 x + [ (42*13)/2 ]
14x + 546/2 = 385
14x + 273 = 385
14x = 112
x = 8
So by day 8,11,14,17,20,23,26,29,32,35,38,41,44,47
2006-11-08 16:01:55 · answer #5 · answered by bourqueno77 4 · 0⤊ 0⤋
A female Natural Resource Officer caught him for going over the daily limit. She grabbed his pole and he spent 30 days home confinement. (;-}
2006-11-08 15:51:34 · answer #6 · answered by wmf936 5 · 0⤊ 0⤋
How are you going to learn anything in school if everyone gives you the answers!
Suck it up and try studying for a while instead of always taking the easy way out!
Kids!
2006-11-08 15:45:26 · answer #7 · answered by Mr. Right 4 · 0⤊ 0⤋
1st day is 8 then add 3.
2006-11-08 15:52:14 · answer #8 · answered by cimpuazaj c 1 · 0⤊ 0⤋
damnnnnnnnn thats a hard one 25 FISH PER DAY
2006-11-08 15:44:05 · answer #9 · answered by Anonymous · 0⤊ 1⤋
Im not surprised you need help. I tried to work it out and failed miserably...:D
2006-11-08 15:45:31 · answer #10 · answered by huggz 7 · 0⤊ 0⤋