(a) If each pair of socks is $60, find the selling price of 3 pairs of socks. (b) Eric buys 4 shirts with prices $120, $150, $130 and $190. Find the price that he needs to pay. (c)... (a) If each pair of socks is $60, find the selling price of 3 pairs of socks. (b) Eric buys 4 shirts with prices $120, $150, $130 and $190. Find the price that he needs to pay. (c) The salesperson suggests Eric to buy one pair of socks together with the above shirts since it will be cheaper than the price in (b). Do you agree? Explain your answer.
Understand the Problem
The question involves calculating the selling price of socks based on a price promotion and determining if purchasing socks is more cost-effective than buying four shirts of specified prices.
Answer
The selling price of 3 pairs of socks is $162.
Answer for screen readers
The selling price of 3 pairs of socks is $162.
Steps to Solve
- Calculate the total cost of socks before discount
Each pair of socks costs $60. Therefore, for 3 pairs:
Total cost = $60 × 3 = $180
- Determine the applicable discount percentage
Since the total price of the socks ($180) is below $300, the discount percentage is 10%.
- Calculate the discount amount
Discount amount = Total cost × Discount percentage
= $180 × 0.10 = $18
- Calculate the selling price after discount
Selling price = Total cost - Discount amount
= $180 - $18 = $162
- Calculate the total price of the 4 shirts
Eric buys shirts priced at $120, $150, $130, and $190.
Total price = $120 + $150 + $130 + $190 = $590
- Determine if buying socks is cheaper than shirts
Compare the selling price of the socks and the total price of the shirts.
If $162 < $590, then buying socks is indeed cheaper.
The selling price of 3 pairs of socks is $162.
More Information
This calculation shows that buying 3 pairs of socks is significantly cheaper than buying 4 shirts totaling $590.
Tips
- Miscalculating the total cost of socks or shirts.
- Forgetting to apply the correct discount percentage.
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