Respuesta :
Ratios be 2x and 3x
[tex]\\ \rm\longmapsto 2x+3x=840[/tex]
[tex]\\ \rm\longmapsto 5x=840[/tex]
[tex]\\ \rm\longmapsto x=\dfrac{840}{5}[/tex]
[tex]\\ \rm\longmapsto x=168[/tex]
Now
- 2x=2(168)=336
- 3x=3(168)=508
Answer:
[tex]2 : 3 \\ 336 : 504[/tex]
Step-by-step explanation:
Let the ratio be x
So we can write 2:3 as,
[tex]2x : 3x[/tex]
when we add them,
[tex]2x + 3x = 5x[/tex]
There altogether 5
So, now we can divide 840 by 5
[tex]5x = 840 \\ \frac{5x}{5} = \frac{840}{5} \\ x = 168[/tex]
So, x = 168
And now we can find the number of shares corresponding to a ratio of 2:3
[tex]168 \times 2 =33 6[/tex]
[tex]168 \times 3 =50 4[/tex]
So, the final answer is,
[tex]2 : 3 \\ 336 : 504[/tex]
hope this helps you
Let me know if you have another questions:-)