Emily spent 1/2 of her money at the store. Then she spent 1/2 of what was left at the bakery. next she spent 1/2 of what was left at the music store. She spent the remaining$6.00 at school. How much money did Emily start with?

plug and chug

s to start

1/2 s after store

1/4 s after bakery

1/8 s after music

so s/8 = 6

s = 6*8 = 48

how to do math

To find out how much money Emily started with, we can work backwards from the information given.

1. Let's say Emily started with "x" dollars.

2. She spent 1/2 of her money at the store, which leaves her with (1 - 1/2) or 1/2 of her money.

3. She then spent 1/2 of what was left at the bakery, which leaves her with (1/2 - 1/2*1/2) or 1/4 of her money.

4. Next, she spent 1/2 of what was left at the music store, which leaves her with (1/4 - 1/2*1/4) or 1/8 of her money.

5. Finally, she spent the remaining $6.00 at school. So, we have the equation 1/8 * x = 6.

6. Solving the equation, we can multiply both sides by 8 to isolate x: x = 6 * 8.

7. Therefore, Emily started with $48.00.

To solve this problem, we need to work backward. We'll start with the amount of money that Emily spent at school and work our way back to find the amount of money she started with.

Given that Emily spent the remaining $6.00 at school, we know that this $6.00 is 1/2 of what was left after she spent money at the music store.

Let's represent the amount of money that Emily had after leaving the music store as "x." So, 1/2 of x is equal to $6.00.

To find the value of x, we can set up the equation:

1/2 * x = 6.00.

To solve for x, we'll multiply both sides of the equation by 2:

2 * (1/2 * x) = 2 * 6.00
x = 12.00

So, Emily had $12.00 after leaving the music store.

Now, let's move one step further back. We know that Emily spent 1/2 of what was left after leaving the bakery at the music store. If we represent the amount of money Emily had after the bakery as "y," then 1/2 of y is equal to $12.00.

Setting up the equation:

1/2 * y = 12.00

To solve for y, we'll multiply both sides of the equation by 2:

2 * (1/2 * y) = 2 * 12.00
y = 24.00

So, Emily had $24.00 after leaving the bakery.

Now, let's go one step further back. Emily spent 1/2 of her money at the store, which means the amount of money Emily had before going to the store can be represented as "z." So, 1/2 of z is equal to $24.00.

Setting up the equation:

1/2 * z = 24.00

To solve for z, we'll multiply both sides of the equation by 2:

2 * (1/2 * z) = 2 * 24.00
z = 48.00

Therefore, Emily initially had $48.00.