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)?

Question

asked Aug 12, 2023 99.3k views

1 Answer

You Qi · Answer 1 · 2023-08-18T23:19:35+0000

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

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.