Question

James buys a shirt and a pair of socks on sale for 25% off. If the price of the shirt before the sale was $24 and he spent a total of $24, what was the original price of the socks? I need a detailed step by step explanation

Answer 1

Given:

Discount = 25% (James has to pay 75% of the article)

Price of shirt before discount = $24

Amount spent on both shirt and socks after applying discount = $24

Assume the price of socks is x; then:

Shirt + Socks before discount = $(24 + x)

`\begin{gathered} (75)/(100)(24\text{ + x) = 24} \\ 0.75(24\text{ + x) = 24} \\ 18\text{ + 0.75x = 24} \\ 0.75x\text{ = 24 - 18} \\ 0.75x\text{ = }6 \\ x\text{ = }8 \end{gathered}`

The Price of Socks is = $8