sara spent $64 on books and towels. she bought three times as many books as towels. how many of each did she buy?
*every item is $8
b = numbers of books
t = numbers od towels
b = 3 t
Total price :
( b + t ) * 8 = 64
( 3 t + t ) * 8 = 64
4 t * 8 = 64
32 t = 64 Divide both sides by 32
t = 64 / 32 = 2
2 towels
b = 3 t
b = 3 * 2 = 6
6 books
2 * 8 $ + 6 * 8 $ =
16 $ + 48 $ = 64 $
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Let's assume the number of towels Sara bought is 'T'.
Since she bought three times as many books as towels, the number of books she bought would be 3T.
Now, let's calculate the total amount spent on books and towels:
The cost of each item is $8, so the cost of T towels would be 8T.
The cost of 3T books would be 8 * 3T = 24T.
According to the problem, the total amount spent is $64.
Therefore, the equation representing the given information is:
8T + 24T = 64
Combining like terms:
32T = 64
Now, let's solve for T:
T = 64 / 32
T = 2
So, Sara bought 2 towels.
Therefore, the number of books she bought would be:
3T = 3 * 2 = 6
Therefore, Sara bought 6 books.
To find out how many books and towels Sara bought, we need to set up equations using the given information.
Let's assume the number of towels Sara bought is 'x'. Since she bought three times as many books as towels, the number of books she bought would be '3x'.
Now, we can calculate the total amount spent on books and towels. The cost of each item is $8, so the total cost is:
Cost of books = Number of books * Cost per book = (3x) * 8
Cost of towels = Number of towels * Cost per towel = x * 8
Given that the total spent is $64, we can set up the equation:
(3x) * 8 + x * 8 = 64
Now we can solve for x:
24x + 8x = 64
32x = 64
x = 64 / 32
x = 2
So, Sara bought 2 towels. To find the number of books, we can substitute this value of x back into the expression for the number of books:
Number of books = 3x = 3 * 2 = 6
Therefore, Sara bought 6 books and 2 towels.