At a clothing store, the price of a cashmere sweater is three times the price of a cotton sweater. If the store sold 25 cashmere sweaters for a total of P 1,500 and the combined sales of cashmere and cotton sweaters totaled P 1,800, how many cotton sweaters were sold?
Question
At a clothing store, the price of a cashmere sweater is three times the price of a cotton sweater. If the store sold 25 cashmere sweaters for a total of P 1,500 and the combined sales of cashmere and cotton sweaters totaled P 1,800, how many cotton sweaters were sold?
Solution
Step 1: Let's denote the price of the cotton sweater as x. Therefore, the price of the cashmere sweater is 3x.
Step 2: We know that the store sold 25 cashmere sweaters for a total of P 1,500. So, we can write the equation: 25 * 3x = 1500. Solving this equation, we find that x = 20. So, the price of the cotton sweater is P 20 and the price of the cashmere sweater is P 60.
Step 3: The combined sales of cashmere and cotton sweaters totaled P 1,800. We already know that the sales from the cashmere sweaters is P 1,500. Therefore, the sales from the cotton sweaters is 1800 - 1500 = P 300.
Step 4: Since each cotton sweater costs P 20, the number of cotton sweaters sold is 300 / 20 = 15.
So, the store sold 15 cotton sweaters.
Similar Questions
Sally bought a dress, a shirt and a wallet at a sale. She could have bought one more similar dress if she did not buy the shirt and the wallet. 3-5 of the price of the dress was equivalent to twice the price of the wallet. (a) What was the ratio of the price of the dress to the price of the shirt to the price of the wallet? (b) If the shirt cost $32 more than the wallet, how much did the dress cost?
Diana went to buy a shirt and a tie for her father as a birthday gift. 5 ties cost the same as 3 shirts. 5 ties and 3 shirts cost a total of $3150. How much more did a shirt cost than a tie?
Jacob wanted to buy a shirt and a tie for her father as a birthday gift. 7 ties cost the same as 3 shirts. 7 ties and 3 shirts cost a total of $3402. How much more did a shirt cost than a tie?
The table below shows the production cost information for Raincoat, Inc. Raincoat, Inc. Production CostRaincoats Total Cost Marginal Cost0 $50.00 -1 $55.00 $5.002 $57.50 $2.503 ? $5.00 What is the total cost of production associated with the 3rd3rd raincoat?Multiple choice question.$2.50$62.50$60.00$5.00
Diana bought 4 pairs of sunglasses and 3 dresses for $750. If 1 pair of sunglasses cost the same as 3 dresses, what is the cost of 1 pair of sunglasses and 1 dress?The cost of 1 pair of sunglasses and 1 dress is $.Recommended Heuristic: Use Equations
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.