Answer: The cost of a hardcover book is $4
Step-by-step explanation:
Let the cost of one hard cover book be $x
Let the cost of one paper back book be $y
Nate bought 3 hardcover books and 7 paperback books and spent $29.50. This means that
3x + 7y = 29.5 - - - - - - - - - 1
Tia bought 2 hardcover books and 5 paperback books and spent $20.50. This means that
2x + 5y = 20.5 - - - - - - - - -2
Multiplying equation 1 by 2 and equation 2 by 3. It becomes
6x + 14y = 59
6x + 15y = 61.5
Subtracting,
- y = - 2.5
y = 2.5
Substituting y = 2.5 into equation 1, it becomes
3x + 7×2.5 = 29.5
3x + 17.5 = 29.5
3x = 29.5 - 17.5 = 12
x = 12/3 = 4
Answer:
The cost of a hardcover book is $4
Step-by-step explanation:
