Doug has 170 stamps in his two-book collection. his first book of stamps has 30 more stamps in it than his second book. How mwny stamps are in each book?
x + x + 30 = 170
2x = 170 - 30
2x = 140
x = 70
He has 70 stamps in one book. How many does he have in the other book?
100
Right.
To solve this problem, we can set up a system of equations to represent the given information.
Let's assume that the number of stamps in the second book is x.
According to the problem, the first book has 30 more stamps than the second book. So, the number of stamps in the first book is x + 30.
Now, we can set up an equation based on the total number of stamps in both books. The sum of the stamps in the first book and the second book should equal 170.
(x + 30) + x = 170
Combining like terms:
2x + 30 = 170
Subtracting 30 from both sides:
2x = 140
Dividing both sides by 2:
x = 70
So, the second book has 70 stamps.
To find the number of stamps in the first book, we can substitute the value of x back into one of our equations.
Number of stamps in the first book = x + 30 = 70 + 30 = 100
Therefore, there are 100 stamps in the first book and 70 stamps in the second book.