SOLUTION: fred buys a box of books at a car boot sale the box contains 7 hardback books and 8 soft back books and costs £8.37...diane buys a box containing 12 hardback books and 5 soft back
Algebra.Com
Question 134325: fred buys a box of books at a car boot sale the box contains 7 hardback books and 8 soft back books and costs £8.37...diane buys a box containing 12 hardback books and 5 soft back books from the same stall at a cost of £10.95...given that all hardback books are sold for one price, x, and all soft back books for another, y, form simultaneous equations and solve them to find the cost of each type of book.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let h=cost of a hardback book, s=cost of a soft back.
A) 7h+8s=8.37
B) 12h+5s=10.95
.
B) 96h+40s=87.6 Multiply each side by 8
A) 35h+40s=41.85 Multiply each side by 5
-----------------subtract
===>61h=45.75
h=45.75/61=0.75
.
7*.75 + 8s=8.37
5.25+8s=8.37
8s=8.37-5.25
8s=3.12
s=3.12/8=.39
.
Check:
12*.75 + 5*.39 =10.95
.
Ed
RELATED QUESTIONS
Find the probability of randomly selecting 2 mathematics books and 3 physics books from a (answered by stanbon)
Find the probability of randomly selecting 2 mathematics books and 3 physics books from a (answered by edjones)
martin and anna buy books at a sale. martin buys 3 hardcover books and 4 paperback books... (answered by checkley75)
Mike and Sarah buy books at a sale. Mike buys 3 hardcover books and 4 paperback books... (answered by checkley79)
A box can hold a maximum of 60 comic books. If comic books are bundled together in... (answered by ikleyn)
A bookstore priced all hardback books at $5 a book and all paper back books at $1. The... (answered by josmiceli)
A box in a college bookstore contains books, and each book in the box is a history book,... (answered by rfer)
Volume of a box = 240. How many books 8"x11" will fit in the box?... (answered by fcabanski)
Hi, My daughter has a word problem that we cannot figure out. She has not been issued a... (answered by stanbon)