Question 93721
Harriet bought 4 books and 3 magazines for $1.45, and June bought 2 books and 5 magazines for $1.25.  What was the price of a book and what was the price of a magazine?
----------------
Let the price of a book be "b"; Let the price of a magazine be "m".
---------------
EQUATIONS:
1st: 4b+3m=1.45
2nd: 2b+5m=1.25
--------------------
Multiply the 2nd equation by 2 to get:
3rd: 4b+10m=2.50
--------
Subtract the 1st equation from the 3rd to get:
4th: 7m=1.05
m = 0.15 (price of a magazine)
-------------
Substitute that into the 2nd equation to solve for "b":
2b + 5*0.15 = 1.25
2b + 0.75 = 1.25
2b = 0.50
b = 0.25 (price of a book)
=============
Cheers,
Stan H.