Diane sold some stuffs at a garage sale. She spent one-half of the money she made on a new bicycle. Next, she spent one-half of what was left on a portable stereo. If Diane had $40.00 left, how much money did she make from the garage sale

$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

2

step-by-step explanation: