Question

the average amount of savings of 10 students is $60. if 3 of the students have no savings at all, and each of the others has at least $25, including john, who has exactly $130, what is the largest amount in dollars that any one student can have?

Answer 1

number of students = 10.
Avg savings = 60$
So total money = 60 * 10 = 600$

John has 130$
3 students = 0$

so 3 + John + 6students = 600
0 + 130 + 6students = 600
6 students = 470..

this all 6 students has min 25..
so 6 * 25 = 150..

470 - 150 = 320..
so maximum one person can have is 320 + 25 = 345$..

i guess, do u have any options ??

Answer 2

i was thinking, and it could be wrong, to try to undo the process from a known point

n/10 = 60

n=60*10 = 600

n = 0+0+0+130 + >25 +>25 + >25

600 = 130 + something

600 - 130 = 470

470 = >25 + >25 + >25
= 25+a + 25 + b + 25+ c

470 - 75 = a+b+c

395 = a+b+c

Answer 3

if we assume that a b or c has to have at least 1 dollar more than 25 that gets me:

395 = 1+1+largest amount possible

393

Answer 4

0+0+0+130+26+26+393 = 575 .... got lost somewhere in the mathing lol

i ended up with 7 students :/

Answer 5

@amistre64 : i doubt ur method..

Answer 6

0 + 0 + 0 + 130 + 26 + 26 + 26 + 26 + 26 + L = 600

there, thats 10 peoples; with 3 at 0, john at 130, and everyone else having more than 25 dollars :)

oh, i doubt it too

Answer 7

340 is what i end up with ....

Answer 8

0 + 0 + 0 + 130 + 25 + 25 + 25 + 25 + 25 + x = 600

x = 345..

Answer 9

y u took 26 ?? they say atleast 25.. so it can 25 as well ??

Answer 10

at least $25 .... oh, i read it wrong :)

Answer 11

then yes, 345 is good lol

Answer 12

at any rate, you no longer ahve to guess if that was right ....

Answer 13

h aha , just wanted to recheck.. if it was wrong, penguinn would have been in trouble.. :D

Answer 14

@penguinn : so did u understood ??

Answer 15

yea ty. :)

Answer 16

great !!