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

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;

$\frac{2x}{2} = \frac{26}{2}$

Simplify:

x =13

∵Gavyn win money 3x = 3(13) = $39

Therefore, Gavyn get, $39.