Another Math Puzzle... YAY!

Hungry Horace=50kg

Curly Kate=35kg

Tiny Tim=25kg

 

Please do scroll down to see my work and check... 

( I apologize if it is TOO long). To find out the weight of the individuals, I have done this:

I have marked Hungry Horace as H.
I have marked Curly Kate as C.
I have marked Tiny Tim as T.

Here is the equation for the first statement: Hungry Horace and Curly Kate put the 10c in and got on the scales: The dial showed 85kg:

H+C=85

Since I have found what Hungry Horace is (scroll down to see the weight of Hungry Horace), I have substituted H for 50.

50+C=85
-50        -50

C=35

Curly Kate has a weight of 35kg.

CHECK:

50+35=85

85=85
 :)

Here is the equation for the second statement: Tiny Tim got on and Curly Kate got off. The dial went down to 75kg:

H+T=75

We can use the equation T=25 in the bottom of the page to substitute the variable "T"

H+25=75
     -25  -25

H=50

Hungry Horace has a weight of 50kg.

We can conclude that C=T+10 because due to the fact that Tiny Tim got on, the weight has decreased 10kg which is my evidence.

CHECK:

50+25=75
75=75
:)

Here is the equation for the third statement: Curly Kate got back on and Hungry Horace got off. The dial went down to 60 kg:

C+T=60

If we substitute C with the equation above, here it is:

T+10+T=60
2T+10=60
       -10  -10
2T/2=50/2

T=25

Tiny Tim weighs 25kg.

CHECK:

35+25=60
60=60
:-)