Rusty, Henry and Linda have recorded a hit song. If Rusty gets 2/5 of the income and Henry gets 1/3 and they earn 450,000, how much does Linda receive?

Respuesta :

Answer:

223,140.5

Step-by-step explanation:

Rusty and Henry gets  [tex]\frac{2}{5}+\frac{1}{3}=\frac{11}{15}[/tex]  of the whole share (which is 1).

We can setup a ratio and solve for for total amount, which is t:

[tex]\frac{\frac{11}{15}}{450,000}=\frac{1}{t}\\\frac{11}{15}t=450,000\\t=\frac{450,000}{\frac{11}{15}}\\t=613,636.36[/tex]

since both get 11/15th of the total, linda will get 15 - 11 = 4,  4/11th of the total

Linda's share is = 223,140.5