Answer:
Consider the complete question is,
'For each customer, a bakery charges p dollars for the first loaf of bread bought by the customer and charges q dollars for each additional loaf bought by the customer. What is the value of p ?
(1) A customer who buys 2 loaves is charged 10 percent less per loaf than a customer who buys a single loaf.
(2) A customer who buys 6 loaves of bread is charged 10 dollars.
Solution :
Since, the charges of first loaf = p dollars,
Charges for each additional loaf = q dollars
Thus, the total charges for x additional loaf = p + qx
Charges for 1 loaf = p,
Charges for 2 loaf per loaf = (p + q)/2
According to the question,
![\frac{p + q}{2} = (100-10)\%\text{ of } p](https://tex.z-dn.net/?f=%5Cfrac%7Bp%20%2B%20q%7D%7B2%7D%20%3D%20%28100-10%29%5C%25%5Ctext%7B%20of%20%7D%20p)
![\frac{p + q}{2} = 90%\text{ of }p](https://tex.z-dn.net/?f=%5Cfrac%7Bp%20%2B%20q%7D%7B2%7D%20%3D%2090%25%5Ctext%7B%20of%20%7Dp)
![p + q = 1.8p](https://tex.z-dn.net/?f=p%20%2B%20q%20%3D%201.8p)
![p + q - 1.8p = 0](https://tex.z-dn.net/?f=p%20%2B%20q%20-%201.8p%20%3D%200)
.....................(1),
Again according to the question,
p + 5q = 10 .....................(2),
Equation (2) - 5 × equation (1),
p + 4p = 10
5p = 10
⇒ p = 2
Hence, the value of p would be 2.