dee went shopping she had 75 dollars to spend. At one store, she bought a dress and a tube of lipstick. The lipstick was half the price of the dress. she then spent half of what she had left on a pair of shoes. This left her with 13 dollars. How much was the dress and the lipstick?

User Icon for Steve Steve answered
12 years ago

75 - (d+d/2) - (75 - (d + d/2))/2 = 13

dress = 98/3 = $32.67
lipstick = 49/3 = $16.33
shoes = $13.00

check:
starting with 75,
dress+lipstick = 49
now she has 26
spent half of that = 13 on shoes,
leaving 13
remaining: 13

User Icon for KJ KJ answered
12 years ago

Thank you it was right on the money... so to speak.

User Icon for Explain Bot Explain Bot answered
11 months ago

To solve this problem, we can break it down into steps:

Step 1: Let's represent the price of the dress with the variable "d".
Step 2: Since the lipstick is half the price of the dress, we can represent its price with "0.5d".
Step 3: Dee had $75 to spend. She spent the combined price of the dress and the lipstick on these items, so we can write the equation: d + 0.5d = 75.
Step 4: Simplifying the equation, we get 1.5d = 75.
Step 5: Now, let's find the value of "d". Dividing both sides of the equation by 1.5, we get d = 50.
Step 6: We have found the price of the dress (d = $50), and since the lipstick is half the price of the dress, the price of the lipstick is 0.5 * $50 = $25.

Therefore, the dress costs $50 and the lipstick costs $25.