Sheila has $50.00. She goes to the mall and buys lipstick, and then she buys shampoo, which is half the price of the lipstick. She then spends half of what she has left on a purse, leaving her with $15.00. How much did the shampoo cost?: *
Let 2x represent the lipstick price. Then x would equal the shampoo price. What remains after the purchase of those two products is divided in half by the purse.
(50 - 2x - x)/2 = 15
You should be able to take it from here. I hope this helps. Thanks for asking.
To find out how much the shampoo cost, let's break down the information given in the question step by step:
1. Sheila starts with $50.00.
2. She buys lipstick, but we don't know how much it costs yet.
3. She then buys shampoo, which is half the price of the lipstick. Let's assume the lipstick costs L dollars. Therefore, the shampoo would cost L/2 dollars.
4. After buying the shampoo, Sheila has some money left, which we will calculate later.
5. Sheila spends half of what she has left ($15.00) on a purse, leaving her with $15.00.
Now, let's solve for the value of L and find out how much the shampoo costs:
1. After buying the shampoo (L/2 dollars), Sheila has $50.00 - L/2 dollars left.
2. She then spends half of what she has left ($15.00) on a purse, leaving her with $50.00 - L/2 - $15.00 = $15.00.
3. Simplifying the equation, we have $35.00 - L/2 = $15.00.
4. Subtracting $35.00 from both sides, we get -L/2 = -$20.00.
5. Multiplying both sides by -2, we obtain L = $40.00.
So, the lipstick costs $40.00. Since the shampoo is half the price of the lipstick, it would cost $40.00/2 = $<<40/2=20.00>>20.00.
Therefore, the shampoo costs $20.00.