Question

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)
`(1)/(2)`d-
`(1)/(6)`d
B)
`(1)/(2)`·
`(d)/(3)`
C)
`(1)/(2)d-(1)/(3) d`
D)
`(d)/(2)+(d)/(3)`

Answer 1

b

Explanation:

1/2 * 1d/3 =

1/6 * d = or d/6

Answer 2

`(1)/(2)d-(1)/(6)d`

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 -
`(d)/(2)` =
`(d)/(2)`

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

So, the final remained money = remaining money on wednesday -
`(1)/(3)` of the remaining money on wednesday,

`=(d)/(2)-(1)/(3)* (d)/(2)`

`=(d)/(2)-(d)/(6)`

Option 'A' is correct.