SOLUTION: $120 is shared among three boys. Tom gets $5 more than Ram who gets $5 more than Chin. How much does Tom get?

Algebra ->  Proportions  -> Lessons -> SOLUTION: $120 is shared among three boys. Tom gets $5 more than Ram who gets $5 more than Chin. How much does Tom get?       Log On


   

Question 1179145: $120 is shared among three boys. Tom gets $5 more than Ram who gets $5 more than Chin. How much does Tom get?
Found 3 solutions by ewatrrr, ikleyn, greenestamps:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Let x be Chin's amount:
 Tom + Ram + Chin = $120
(x+10) + (x+5) + x = $120
   3x = $105
    x = $35, chin's amount.  Tom gets $45.  35+%2B+10

$45 + $40 + $35 = $120  checks.
Wish You the Best in your Studies.


Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
$120 is shared among three boys. Tom gets $5 more than Ram who gets $5 more than Chin. How much does Tom get?
~~~~~~~~~~~~~~~~ 


Tom     x

Ram     (x-5)

Chin    ((x-5)-5) = x - 10.


Total


    x + (x-5) + (x-10) = 120  dollars


       3x  - 15        = 120

       3x              = 120 + 15 = 135

        x                         = 135/3 = 45.


ANSWER.  Tom gets 45 dollars.


CHECK.  45 + 40 + 35 = 120.     ! Precisely correct !

Solved.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The differences are the same, so the three numbers form an arithmetic progression.

For three number in arithmetic progression with a sum of 120, the middle number is 120/3 = 40; with a common difference of 5, the three numbers are 35, 40, and 45.

ANSWER: Chin $35; Ram $40; Tom $45

If you want a typical standard algebraic solution....

let x = amount Ram gets
then x-5 = amount Chin gets
and x+5 = amount Tom gets

The total is $120:

x + (x-5) + (x+5) = 120
3x = 120
x = 120/3 = 40

ANSWERS: Ram x=40; Chin x-5=35; Tom x+5=45