Question

In a certain country ½ of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ?

Answer 1

4

Answer 2

how'd you do it? is it 5/2:3 = 10/3: x?

Answer 3

\[1/2=3/5\implies1/3=2/5\]

Answer 4

awww, I wanted to hear what @FoolForMath had to say :(
yeah, maybe your way is more thorough, but I'm tired, and the answer's right, so ha!

Answer 5

i wanted to hear it too..thanks anyway turing :D

Answer 6

I am doing this in a single line,

\[ \frac12 \times 5 = 3 \implies 2 \times \left(\frac 23 \times \left (\frac12 \times 5 \right) \right)= 2\times \left( \frac 23 \times 3\right) \implies \frac 13 \times 10 =4 \]

Answer 7

\[ \frac12 \times 5 = 3 \implies 2 \times \left(\frac 23 \times \left (\frac12 \times 5 \right) \right) \] \[= 2\times \left( \frac 23 \times 3\right) \implies \frac 13 \times 10 =4 \]

Answer 8

haha I beat you FFM:
I did it in a single algebraic move ;)

Answer 9

Good for you :P