the ratio of isabella's money to shane's money is 3:11. if isabella has 33, how much money do shane and isabella have together?

Respuesta :

So here's what we know. The ratio of Isabella’s money to Shane’s money is 3:11 and Isabella has $33.

We can make a proportion to solve for how much money Shane has and then use these proportions to find how much they have total.   
 Let’s call Shane’s money ‘S’ to eliminate confusion.

We get this proportion:   3/11 = 33/x  (3/11 = 3:11) 

When we cross multiply (because that's the easiest way to solve for proportions in my opinion), we get:   
33*11 = 3*x   

Simplifying it, we get:
3*x = 363  

Divide both sides by 3, we get:
x = 121   

Now that we know how much Shane has, we can solve for the total. 

33 + 121 = $154   

They have $154 together.
$154.

If Isabella has 33, that means 33/3 > 11 x 11 > 121
121 (Shane's money) + isabella's 33 = $154