SOLUTION: Should this all be converted to decimals? Unable to solve this one.
Mark's weight is 110% of Steve's weight.
The ratio of Joseph's weight to Tim's weight is 10 : 11.
The ratio
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Question 585374: Should this all be converted to decimals? Unable to solve this one.
Mark's weight is 110% of Steve's weight.
The ratio of Joseph's weight to Tim's weight is 10 : 11.
The ratio of Carl's weight to Mark's weight is 6 : 7.
Carl's weight is 120% of Joseph's weight. Who weighs the least?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
let their weights =
Mark's =
Steve's =
Joseph's =
Tim's =
Carl's =
------------
To convert decimals, move decimal point
2 places to the left
given:
(1)
(2)
(3)
(4)
-----------
Normally you couldn't solve this for all
their weights because there are 5 unknowns
and only 4 equations.
They only want the one who weighs the least,
so I can find that.
-----------
(3) tells me Mark weighs more than Carl
(4) tells me Carl weighs more than Joseph
So far the order is
Mark
Carl
Joseph
Now substitute (1) into (3)
(3)
(3)
(3)
(3)
So, Steve weighs more than Carl, but (1)
says Mark weighs more than steve, so
the order now is
Mark
Steve
Carl
Joseph
------------
(2) says Tim weighs more than Joseph
No matter where Tim fits in, Joseph Has
to weigh the least
Hope I got it
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