Answer:
$39 did Gavyn get
Step-by-step explanation:
Given the statement: Sarah and Gavyn win some money and share it in the ratio 5:3.
Let the number be x
Then, Sarah win money be 5x and Gavyn win money be 3x.
Also, it is given that Sarah gets $26 more than Gavyn.
⇒ 5x = 26 + 3x
Subtract 3x from both sides we get;
5x -3x = 26 + 3x -3x
Simplify:
2x = 26
Divide both sides by 2 we get;
[tex]\frac{2x}{2} = \frac{26}{2}[/tex]
Simplify:
x =13
∵Gavyn win money 3x = 3(13) = $39
Therefore, Gavyn get, $39.