Sure, I'd be happy to help you with this question!
To determine the profit made by a woman who buys a basket of oranges for [tex]\( x \)[/tex] cedis and sells it for [tex]\( y \)[/tex] cedis, you can follow these step-by-step calculations:
1. Identify the Cost Price (CP):
- The cost price (CP) is the amount the woman paid to buy the basket of oranges, which is [tex]\( x \)[/tex] cedis.
2. Identify the Selling Price (SP):
- The selling price (SP) is the amount the woman receives when she sells the basket of oranges, which is [tex]\( y \)[/tex] cedis.
3. Calculate the Profit (P):
- Profit is the difference between the selling price and the cost price. Mathematically, it is given by:
[tex]\[
P = SP - CP
\][/tex]
Substituting in the values for SP and CP:
[tex]\[
P = y - x
\][/tex]
So, the profit the woman makes is [tex]\( y - x \)[/tex] cedis.
This calculation is straightforward and involves basic subtraction. As an example, if the woman buys a basket of oranges for 50 cedis ([tex]\( x = 50 \)[/tex]) and sells it for 70 cedis ([tex]\( y = 70 \)[/tex]), her profit would be:
[tex]\[
P = y - x = 70 - 50 = 20 \text{ cedis}
\][/tex]
I hope this clarifies the process! If you have further questions or need additional assistance, feel free to ask.