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
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
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.