SOLUTION: George brought three books for his history, chemistry and mathematics classes. The Chemistry book cost 5 dollars more than the history book. the mathematics book costs twice as mu

Question 515672: George brought three books for his history, chemistry and mathematics classes. The Chemistry book cost 5 dollars more than the history book. the mathematics book costs twice as much as the chemistry book. if the total bill for all three books was 145 dollars , what is the price of each one?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
H = price of history book
C = price of chemistry book
M = price of mathematics book
.
C = H+5
.
M = 2*C = 2*(H+5)
.
H + C + M = 145
.
substitute in terms of H
.
H + H+5 + 2(H+5) = 145
.
H + H + 5 + 2H + 10 = 145
.
4H + 15 = 145
.
4H = 130
.
H = 32.50
.
C = H+5 = 37.50
.
M = 2*37.50 = 75.00
.
Done.
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