SOLUTION: 1/5 of Tom's height is equal to 1/3 of Jerry's height. If their total height is 320 cm, what is Jerry's height?

Click here to see ALL problems on Miscellaneous Word Problems

Question 772734: 1/5 of Tom's height is equal to 1/3 of Jerry's height. If their total height is 320 cm, what is Jerry's height?

Found 2 solutions by Cromlix, MathLover1:
Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website!
1/5x = 1/3y ...1
x + y = 320....2
Altering equation (1)
1/5x + 1/3y
x = 5/3y
Substitute x = 5/3y in eq(2)
x + y = 320
5/3y + y = 320
(1 = 3/3)
5/3y + 3/3y = 320
8/3y = 320
y = (320 * 3)/8
y = 120cms
Tom's height = 200cms
Jerry's height = 120cms
Hope this helps.
:-)

Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website!
let Tom's height height be and Jerry's height
of Tom's height is equal to of Jerry's height
...cross multiply
........eq.1
if their total height is , then
......eq.2
solve the system:
........eq.1
......eq.2
___________________________
......eq.2.....solve for
.......substitute in eq.1
........eq.1..solve for

.......Jerry's height
=> => .....Tom's height

of Tom's height is
of Jerry's height is