Stanley has a collection of seashells. He found 35% of his collection on Florida beaches. If Stanley has 49 seashells from Florida, how many seashells does he have in his collection all together?

Respuesta :

Answer:

The number of seashells he have in his collection all together is 140.

Step-by-step explanation:

Given:

Stanley has a collection of seashells. He found 35% of his collection on Florida beaches.

Stanley has 49 seashells from Florida.

Now, to find the number of seashells of his collection altogether.

Let the number of seashells all together be [tex]x.[/tex]

Percentage of seashells found on Florida beaches = 35%.

Number of seashells found on Florida beaches = 49.

Now, to get the number of seashells altogether we put an equation:

[tex]35\%\ of\ x=49.[/tex]

⇒ [tex]\frac{35}{100} \times x=49[/tex]

⇒ [tex]0.35\times x=49[/tex]

⇒ [tex]0.35x=49[/tex]

Dividing both sides by 0.35 we get:

⇒ [tex]x=140.[/tex]

Therefore, the number of seashells he have in his collection all together is 140.