Respuesta :
Answer:
80 dollars.
Step-by-step explanation:
Let the amount that A get be [tex]x[/tex] dollars.
B will get the rest of the 336 dollars. That will be [tex]336 - x[/tex] dollars.
[tex]\displaystyle \frac{5}{16}[/tex] of what B get will be the same as what A gets. In other words,
[tex]\displaystyle \frac{5}{16}(336-x) = x[/tex].
Add [tex]\displaystyle \frac{5}{16}x[/tex] to both sides of the equation:
[tex]\displaystyle \frac{5}{16}\times 336 = (1 + \frac{5}{16})x[/tex].
[tex]\displaystyle x = \frac{\displaystyle \frac{5}{16}\times 336}{\displaystyle 1 + \frac{5}{16}} = 80[/tex].
In other words, A gets 80 dollars.
