Brenda spent half her money at a store in the mall. At another store, she spent half her remaining money and $6 more. She had $2 left. How much did Brenda have when she arrived at the mall?

work backwards...

First, start out with $2 and if it says she spent an amount, add it on to the total amount, and keep doing opposites until you get the answer.

24 $32

2+6=8
8*2=16
16*2=32

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To find out how much Brenda had when she arrived at the mall, let's work backward from the given information.

We know that Brenda had $2 left after spending money at the second store. Let's call the amount of money she had remaining after spending money at the first store "x."

We are told that at the second store, Brenda spent half her remaining money and $6 more. So, we can write the equation:

x - (0.5x + 6) = 2

Now, let's solve this equation step by step.

First, simplify the equation:

x - 0.5x - 6 = 2

Combine like terms:

0.5x - 6 = 2

Add 6 to both sides of the equation:

0.5x = 8

Now, multiply both sides of the equation by 2 to isolate x:

0.5x * 2 = 8 * 2

This simplifies to:

x = 16

Therefore, Brenda had $16 remaining after spending money at the first store.

Since we are solving for how much money Brenda had when she arrived at the mall, we need to undo the steps we took backward.

We know that Brenda spent half her remaining money at the first store, so we can double the remaining amount to find the total she had before the first store:

16 * 2 = $32.

Therefore, Brenda had $32 when she arrived at the mall.