Respuesta :
Answer:
$128
Explanation:
Given: Nghiep gave half of his weekly salary to his mother.
Spent remaining half on a new shirt.
Finally he is left with $32
Lets assume Nghiep´s weekly earning be "x".
As given, Nghiep gave his mother half of weekly earning.
∴ Remaining earning= [tex]x- \frac{x}{2}[/tex]
Taking LCD as 2
⇒ Remaining earning= [tex]\frac{2x-x}{2} = \frac{x}{2}[/tex]
Hence, remaining salary giving half earning to his mother is [tex]\frac{x}{2}[/tex]
Now, as given Nghiep spent half of what was left on a new shirt.
∴ Amount spent on shirt= [tex]\frac{x}{2} \times \frac{1}{2} = \frac{x}{4}[/tex]
Next, finding the amount left with Nghiep after spending on shirt.
⇒ Amount left after spending on shirt= [tex]\frac{x}{2} - \frac{x}{4}[/tex]
taking LCD as 4
⇒ Amount left after spending on shirt= [tex]\frac{2x-x}{4} = \frac{x}{4}[/tex]
As given, Nghiep left with $32 after spending on shirt.
∴ We can form an equation for amount left with Nghiep after spending on shirt.
⇒[tex]\frac{x}{4} = 32[/tex]
Now, solving it to find the weekly earning of Nghiep.
⇒ [tex]\frac{x}{4} = 32[/tex]
Multiplying both side by 4.
⇒[tex]x= 32\times 4[/tex]
∴ [tex]x= \$ 128[/tex]
Hence, Nghiep´s weekly earning is $128.
