Q:

please need help ASAP A discount book store sells hardcover books for $8 each and paperbacks for $4 each.The number of hardcover books, h, sold one day was 2 more than four times the number of paperback books, p, sold that same day. The total amount of sales for that day was $160. Jean-Paul wrote the following system of linear equations to find the number of each type of book sold. 8H+4P=160 P4H+2 what was paul's error

Accepted Solution

A:
Translate every statement into algebraic language.

1) hardcover books for $8 each

- name h the number of hardcover books
- amount of sale from hardcover books = 8h

2) paperbacks for $4 each

- namel p the number from paperback books
- amount of sale of paperbacks = 4p

3) the number of hardcover books, h, sold one day was 2 more than four times the number of paperback books, p, sold that same day.

-Β  h = 2 + 4p

4) the total amount of sales for that day was $160.

- 8h + 4p = 160

6) system of equations

h = 2 + 4p
8h + 4p = 160

5) Jean-Paul wrote the following system of linear equations to find the number of each type of book sold,

8H+4P=160
P=4H+2 <---------- here is the error. This means that number of paperback books sold was 2 more than four times the number of hardcover books sold, when the right statement is that the number of hardcover book sold was 2 more than four times the number of paperback books, p, sold.