Problema Solution
Jared starts with $56.50. Seth starts with $43.80. Jared buys eight books and Seth buys six books. The books are all the same price. Jared and Seth have equal amounts of money left over.
a. Form an equation where x is the price of one book.
b. Solve your equation to find the price of one book.
Answer provided by our tutors
Let 'x' be the price of one book, x>0. We need to find x.
After buying 8 books by the price of x Jared will have 56.50 - 8x left;
After buying 6 books by the price of x Seth will have 43.80 - 6x left;
Since they have equal amount of money left we can write the following equation (the answer for a.):
56.50 - 8x = 43.80 - 6x
8x - 6x = 56.50 - 43.80
2x = 12.70
If we solve the equation we get the price of one book:
x = 12.70 / 2
x = 6.35 t
The price of one book is 6.35 t (the answer for b).