Question

A store sells hardcover books for $8 and paperback books for $5. You buy 7 books, represented by the equation x+y=7, where is the number of hardcover books and y is the number of paperback books. The equation 8x+5y=41 represents the total cost. How many of each type of book did you buy?

Answer 1

Total number of Hardcover books is TWO while the number of Paperback books is FIVE

Explanation:

No. of hardcover book = x

No. of paperback book = y

Cost of one hardcover book = $8

Cost of one paperback book = $5

We are given that:

x+y=7 (Equation 1)

8x+5y=41 (Equation 2)

We can find out value of x and y by solving both equations simultaneously.

`Multiplying Equation 1 by 5:\\5x+5y=35\\8x+5y=41\\Subtracting both equations\\-3x=-6\\x=2\\\\According to Equation 1:\\x+y=7\\Putting value of x=2\\2+y=7\\y=5`

Hence, Total number of Hardcover books is TWO while the number of Paperback books is FIVE