After spending $200 of her money on a dress. Lily spent 20% of her remaining money on a bag. She then spent $131 on a pair of shoes. In the end, she had 20% of the original amount Lily had at first. What is the original total amount she had at first?
My work so far:
1/5 saved
4/5 spent includes
$200 + $131 + 1/5 of Remainer = 4/5 of Orginal
(x - 200)(.80) - 131 = .20x
x = 485
check:
start: 485
dress: 200 leaves 285
bag: 57 leaves 228
shoes: 131 leaves 97 = 20% of 485
Thank you, Steve but Algebra hasn't been taught yet in my school so I can't use this. Is there another method?
To find the original total amount Lily had at first, we can set up an equation based on the information given.
Let's start by breaking down the information step by step:
Step 1: Lily spent $200 on a dress.
This means that her remaining money is the original amount minus $200.
Step 2: Lily spent 20% of her remaining money on a bag.
If she spent 20% of her remaining money on a bag, it means she spent (20 / 100) times her remaining money. Let's call her remaining money R. So, she spent 0.2R on the bag.
Step 3: Lily spent $131 on a pair of shoes.
This expenditure needs to be added to the money she already spent on the dress and the bag. So, the new remaining money is R - 200 - 0.2R - 131.
Step 4: In the end, Lily had 20% of the original amount.
This means the new remaining money is 20% of the original amount, or 0.2 times the original amount. So, we have the equation:
R - 200 - 0.2R - 131 = 0.2 * Original Amount
Now we can solve this equation to find the original total amount.
Combining like terms on the left side of the equation:
R - 0.2R = 331
Simplifying:
0.8R = 331
Dividing both sides by 0.8 to solve for R:
R = 331 / 0.8
Calculating R:
R = 413.75
Therefore, the original total amount Lily had at first was $413.75.