Bella spent 4/7 of her money on a dictionary and 3 identical books. She spent 1/6 of the remainder on a journal that cost $7. How much did she spend on the dictionary and 3 books?
If 3/8 of the cost of the dictionary was the same as 1/2 of the total cost of 3 books, how much did each book cost?
I've got $56 on the first question, but I'm having a hard time trying to solve the second one. Any help, please?
$7 is 1/6 of 3/7 of Bella's money, so she had $98 to start with. 4/7 of 98 is $56, as you figured.
The dictionary and the books cost 56
d+3b = 56
3/8 d = 1/2 * 3b
so, 3d = 12b
4b + 3b = 56
b = 8
check:
3 books cost 24
dictionary cost 32
3/8(32) = 1/2(24)
12=12
Thanks, Steve :D
math shakes ke dira wuqy
where 98 came from
Let's solve the second question together!
To find out how much each book costs, we need to figure out the total cost of the dictionary and the three books first.
We know that Bella spent 4/7 of her money on the dictionary and three identical books. So, let's represent Bella's total money with the variable "x".
Bella spent 4/7 of x on the dictionary and three books, which means she has (1 - 4/7) = 3/7 of x remaining.
Next, we are given that Bella spent 1/6 of the remainder (3/7 of x) on a journal, which cost $7.
To find the cost of the dictionary and the three books, we need to find the value of x. So, let's solve for x using the information given:
(3/7)x - (1/6)(3/7)x = 7
To simplify the equation, we'll find a common denominator for (1/6) and (3/7):
(3/7)x - (1/6)(9/7)x = 7
(3/7)x - (3/7)x = 7
Since both terms cancel each other out, there's no solution for x.
Therefore, the question seems to have an error or contradiction.
If you have any further questions or need clarification, feel free to ask!