Julia spent 1/3 of her birthday money. Then she lost 1/2 of the rest. She now has $10.00 dollars left.how much did she get for her birthday.
I don't know thats why I came here.
To find out how much Julia received for her birthday, we need to work backwards using the information given.
Let's denote the amount Julia received for her birthday as "x" dollars.
According to the information provided, Julia spent 1/3 of her birthday money, which means she has 2/3 of the money remaining.
So, the amount she had left after spending is (2/3)x dollars.
Then, she lost 1/2 of the remaining money, which means she has (1/2) * (2/3)x = (1/3)x dollars left.
Now, we know that Julia has $10.00 left, which means (1/3)x = $10.00.
To find the value of "x," we can multiply both sides of the equation by 3:
(1/3)x * 3 = $10.00 * 3
Simplifying, we find:
x = $30.00
Therefore, Julia received $30.00 for her birthday.
original amount = x
spent 1/3 of x so left with 2 x/3
lost half of that so left with x/3
so
x/3 = 10
x = 30 dollars