SOLUTION: A bookstore priced all hardback books at $5 a book and all paper back books at $1. The store sold 30 more paper backs than hardbacks. Total sales were $354. How many of each typ

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Question 220203: A bookstore priced all hardback books at $5 a book and all paper back books at $1. The store sold 30 more paper backs than hardbacks. Total sales were $354. How many of each type were sold.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let h = number of hardbacks soold
Let p = number of paperbacks sold
given:
p+=+h+%2B+30
(1) p+-+h+=+30
and
(2) 1%2Ap+%2B+5h+=+354
Multiply both sides of (1) by 5 and add to (2)
5p+-+5h+=+150
p+%2B+5h+=+354
6p+=+504
p+=+84
and
p+=+h+%2B+30
84+=+h+%2B+30
h+=+54
84 paperbacks and 54 hardcovers were sold
check answer:
(2) 1%2Ap+%2B+5h+=+354
84+%2B+5%2A54+=+354
84+%2B+270+=+354
354+=+354
OK