SOLUTION: how to solve this question. Can you please help me to create equation.
David is thrice as heavy as timmy. patrick is 3.6 kg heavier than timmy. david is 25.8 kg heavier than patri
Algebra ->
Customizable Word Problem Solvers
-> Misc
-> SOLUTION: how to solve this question. Can you please help me to create equation.
David is thrice as heavy as timmy. patrick is 3.6 kg heavier than timmy. david is 25.8 kg heavier than patri
Log On
Question 1139529: how to solve this question. Can you please help me to create equation.
David is thrice as heavy as timmy. patrick is 3.6 kg heavier than timmy. david is 25.8 kg heavier than patrick. find david's mass?
Thanks Found 2 solutions by ikleyn, josgarithmetic:Answer by ikleyn(52815) (Show Source):
D = 3T (1) ("David is thrice as heavy as timmy")
P = T + 3.6 (2) ("patrick is 3.6 kg heavier than timmy")
D = P + 25.8 (3) (" david is 25.8 kg heavier than patrick")
Now substitute D = 3T into equation (3), based on (1).
Also, substitute P = T + 3.6 into equation (3), based on (2).
You will get then
3T = (T+3.6) + 25.8.
Simplify and solve for T
3T = T + (3.6 + 25.8)
2T = 29.4
T = 29.4/2 = 14.7.
Then from equation (1), D = 3*14.7 = 44.1.
ANSWER. David's mass is 44.1 kilograms.
Solved.
It can be solved by other ways, too, but this one is the simplest.
/\/\/\/\/\/\/
It is just from sixties of the past century (i.e. more than 50 years) kilograms are not used to measure weight.
Kilograms are used to measure mass,
but for weight the International System of measuring units (SI) exluded kilograms as the measure of weight / force, replacing them by Newtons.
(