Spent half of her money then 10 more, went to second store, spent half the money she had left and then 10 more. No money left over how much did she have
Work backwards from the ending point.
0+10=10
10*2=20
20+10=30
30*2=60
She had 60$
To find out how much money she had initially, we can work backwards using the information given. Let's follow these steps:
1. Subtract 10 from the amount she spent at the second store, as she spent an additional 10 after spending half of the money she had left.
2. Multiply the result by 2, as she spent half of the money she had left at the second store.
3. Add 10 to the obtained amount, as she spent an additional 10 before going to the second store.
4. Multiply the new amount by 2 again, as she spent half of her money initially.
5. The final result will give us the amount of money she had initially.
Let's calculate it step by step:
Let's say x represents the initial amount of money she had.
1. (x - 10)
2. 2 * (x - 10)
3. 2[(x - 10) * 2] + 10
Now, we know that she had no money left over, so:
4. 2[(x - 10) * 2] + 10 = 0
We can solve this equation to find the value of x. Simplifying it:
5. 4(x - 10) + 10 = 0
6. 4x - 40 + 10 = 0
7. 4x - 30 = 0
8. 4x = 30
9. x = 30 / 4
10. x = 7.5
Therefore, she initially had $7.50.