Julian spends a fourth of his allowance on books. If he buys 2 books for the same amount of money, what fraction of his allowance is spent on each book?
Not sure if right but try this. Say .25=2x where .25 is the fraction of his allowance spent on books and 2x is the number of books multiplied by the price of the books. Solve for x. x=0.125
sounds right, but does not accurately reflect the situation.
Say 1/4 x = 2, where x is the number of books.
Now divide both sides by 2 and you get
1/2 * 1/4 x = 1
1/8 x = 1
so, 1 book is 1/8 of the total.
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(1/4)/2 = 1/4 * 1/2 = 1/8.
To find out the fraction of Julian's allowance spent on each book, we need to know how much Julian spends on books in total and then divide it by the number of books he buys.
Given that Julian spends a fourth of his allowance on books, we can represent this fraction as 1/4.
Let's assume that Julian's allowance is represented by the variable 'x'. Therefore, Julian spends 1/4 * x on books.
Since he buys 2 books for the same amount of money, we can divide the total amount spent on books by the number of books. So each book costs (1/4 * x) / 2.
Simplifying the fraction, we have (1/4 * x) / 2 = (1/4) * (1/2) * x.
To simplify further, we multiply the numerators and denominators: (1/4) * (1/2) = 1/8.
Therefore, each book costs 1/8 of his allowance.
To summarize, Julian spends 1/8 of his allowance on each book.