Answer:
$160
Step-by-step explanation:
Diane sold some stuffs at a garage sale.
Let the total value of the money Diane made = x
She spent one-half of the money she made on a new bicycle.
Amount spent on a Bicycle = 1/2 × x = 1/2x
Next,
Amount left
= x - 1/2x = 1/2x
She spent one-half of what was left on a portable stereo.
Amount spent spent on Portable stereo
= 1/2 × 1/2x
= 1/4x
If Diane had $40.00 left,
Hence:
The fraction of what was left is calculated as:
= x - (1/2x + 1/4x)
= x - (3/4x)
= 1/4x
Hence:
1/4x = $40
We can find the value of x now.
1/4 × x = $40
x/4 = $40
x = $40 × 4
x = $160
Therefore, the amount she made from the garage sale is $160
