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Jeff earned d dollars raking leaves on Monday. He spent 1/2 of that money on Tuesday and 1/3 of what was left on Wednesday. Which expression shows the amount that remained of the money Jeff earned raking leaves on Monday?

A) [tex]\frac{1}{2}[/tex]d-[tex]\frac{1}{6}[/tex]d
B)[tex]\frac{1}{2}[/tex]·[tex]\frac{d}{3}[/tex]
C)[tex]\frac{1}{2}d-\frac{1}{3} d[/tex]
D)[tex]\frac{d}{2}+\frac{d}{3}[/tex]

Respuesta :

Answer:

b

Step-by-step explanation:

1/2 * 1d/3 =

1/6 * d = or d/6

Answer:

[tex]\frac{1}{2}d-\frac{1}{6}d[/tex]

Step-by-step explanation:

Given,

The money Jeff earned raking leaves on Monday ( in dollars )= d,

∵ He spent 1/2 of that money on Tuesday,

So, Remaining money on wednesday = d - [tex]\frac{d}{2}[/tex]  = [tex]\frac{d}{2}[/tex]

Now, he again spent 1/3 of what was left on Wednesday,

So, the final remained money = remaining money on wednesday - [tex]\frac{1}{3}[/tex] of the remaining money on wednesday,

[tex]=\frac{d}{2}-\frac{1}{3}\times \frac{d}{2}[/tex]

[tex]=\frac{d}{2}-\frac{d}{6}[/tex]

Option 'A' is correct.

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