Question

Sarah and Gavyn win some money and share it in the ratio 5:3.Sarah gets ?26 more than Gavyn.How much did Gavyn get?

Answer 1

$39 did Gavyn get

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;

`(2x)/(2) = (26)/(2)`

Simplify:

x =13

∵Gavyn win money 3x = 3(13) = $39

Therefore, Gavyn get, $39.