Question

ABC Bookstore sells one customer 12 used books and 4 new books for 136. Another customer buys 14 used books for 124. How much is one used book (u), and one new book (n)?

Answer 1

One used book costs $8.86 and one new book costs $7.42.

Step-by-step explanation:

To solve this problem, we can set up a system of equations using the given information:

Let u represent the price of one used book
Let n represent the price of one new book

From the first customer's purchase:

12u + 4n = 136

From the second customer's purchase:

14u = 124

Now we can solve this system of equations to find the values of u and n.

From the equation 14u = 124, we can divide both sides by 14 to find that u = 124/14 = 8.86.

Now we can substitute this value of u into the first equation to find n:

12(8.86) + 4n = 136
106.32 + 4n = 136
4n = 29.68
n = 29.68/4 = 7.42.

Therefore, one used book costs $8.86 and one new book costs $7.42.